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Finding the Third Proportional to 147,950 and 216,387.50

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Solution

The third proportional to 147,950 and 216,387.50 is: 316,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,950 : 216,387.50 = 216,387.50 : x
  2. Step 2: Convert to fraction form
    147,950/216,387.50 = 216,387.50/x
  3. Step 3: Cross multiply
    147,950x = 216,387.50 × 216,387.50
  4. Step 4: Simplify right side
    147,950x = 46,823,550,156.25
  5. Step 5: Solve for x
    x = 46,823,550,156.25/147,950
  6. Step 6: Final answer
    x = 316,482.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.