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Finding the Third Proportional to 70,689.38 and 152,452.13

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Solution

The third proportional to 70,689.38 and 152,452.13 is: 328,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,689.38 : 152,452.13 = 152,452.13 : x
  2. Step 2: Convert to fraction form
    70,689.38/152,452.13 = 152,452.13/x
  3. Step 3: Cross multiply
    70,689.38x = 152,452.13 × 152,452.13
  4. Step 4: Simplify right side
    70,689.38x = 23,241,650,417.02
  5. Step 5: Solve for x
    x = 23,241,650,417.02/70,689.38
  6. Step 6: Final answer
    x = 328,785.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.