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Finding the Third Proportional to 98,446 and 152,730

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Solution

The third proportional to 98,446 and 152,730 is: 236,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,446 : 152,730 = 152,730 : x
  2. Step 2: Convert to fraction form
    98,446/152,730 = 152,730/x
  3. Step 3: Cross multiply
    98,446x = 152,730 × 152,730
  4. Step 4: Simplify right side
    98,446x = 23,326,452,900
  5. Step 5: Solve for x
    x = 23,326,452,900/98,446
  6. Step 6: Final answer
    x = 236,946.68

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