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Finding the Third Proportional to 157,630.50 and 216,758.25

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Solution

The third proportional to 157,630.50 and 216,758.25 is: 298,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,630.50 : 216,758.25 = 216,758.25 : x
  2. Step 2: Convert to fraction form
    157,630.50/216,758.25 = 216,758.25/x
  3. Step 3: Cross multiply
    157,630.50x = 216,758.25 × 216,758.25
  4. Step 4: Simplify right side
    157,630.50x = 46,984,138,943.06
  5. Step 5: Solve for x
    x = 46,984,138,943.06/157,630.50
  6. Step 6: Final answer
    x = 298,065.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.