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Finding the Third Proportional to 98,432 and 152,708

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Solution

The third proportional to 98,432 and 152,708 is: 236,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,432 : 152,708 = 152,708 : x
  2. Step 2: Convert to fraction form
    98,432/152,708 = 152,708/x
  3. Step 3: Cross multiply
    98,432x = 152,708 × 152,708
  4. Step 4: Simplify right side
    98,432x = 23,319,733,264
  5. Step 5: Solve for x
    x = 23,319,733,264/98,432
  6. Step 6: Final answer
    x = 236,912.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.