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Finding the Third Proportional to 152,689.50 and 230,708.25

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Solution

The third proportional to 152,689.50 and 230,708.25 is: 348,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,689.50 : 230,708.25 = 230,708.25 : x
  2. Step 2: Convert to fraction form
    152,689.50/230,708.25 = 230,708.25/x
  3. Step 3: Cross multiply
    152,689.50x = 230,708.25 × 230,708.25
  4. Step 4: Simplify right side
    152,689.50x = 53,226,296,618.06
  5. Step 5: Solve for x
    x = 53,226,296,618.06/152,689.50
  6. Step 6: Final answer
    x = 348,591.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.