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Finding the Third Proportional to 70,432.88 and 152,808.19

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Solution

The third proportional to 70,432.88 and 152,808.19 is: 331,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,432.88 : 152,808.19 = 152,808.19 : x
  2. Step 2: Convert to fraction form
    70,432.88/152,808.19 = 152,808.19/x
  3. Step 3: Cross multiply
    70,432.88x = 152,808.19 × 152,808.19
  4. Step 4: Simplify right side
    70,432.88x = 23,350,342,167.04
  5. Step 5: Solve for x
    x = 23,350,342,167.04/70,432.88
  6. Step 6: Final answer
    x = 331,526.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.