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Finding the Third Proportional to 98,498 and 237,461

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Solution

The third proportional to 98,498 and 237,461 is: 572,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,498 : 237,461 = 237,461 : x
  2. Step 2: Convert to fraction form
    98,498/237,461 = 237,461/x
  3. Step 3: Cross multiply
    98,498x = 237,461 × 237,461
  4. Step 4: Simplify right side
    98,498x = 56,387,726,521
  5. Step 5: Solve for x
    x = 56,387,726,521/98,498
  6. Step 6: Final answer
    x = 572,475.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.