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Finding the Third Proportional to 138,607 and 298,531

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Solution

The third proportional to 138,607 and 298,531 is: 642,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,607 : 298,531 = 298,531 : x
  2. Step 2: Convert to fraction form
    138,607/298,531 = 298,531/x
  3. Step 3: Cross multiply
    138,607x = 298,531 × 298,531
  4. Step 4: Simplify right side
    138,607x = 89,120,757,961
  5. Step 5: Solve for x
    x = 89,120,757,961/138,607
  6. Step 6: Final answer
    x = 642,974.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.