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Finding the Third Proportional to 171,498 and 371,508

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Solution

The third proportional to 171,498 and 371,508 is: 804,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,498 : 371,508 = 371,508 : x
  2. Step 2: Convert to fraction form
    171,498/371,508 = 371,508/x
  3. Step 3: Cross multiply
    171,498x = 371,508 × 371,508
  4. Step 4: Simplify right side
    171,498x = 138,018,194,064
  5. Step 5: Solve for x
    x = 138,018,194,064/171,498
  6. Step 6: Final answer
    x = 804,780.20

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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.