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Finding the Third Proportional to 188,537 and 406,599

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Solution

The third proportional to 188,537 and 406,599 is: 876,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,537 : 406,599 = 406,599 : x
  2. Step 2: Convert to fraction form
    188,537/406,599 = 406,599/x
  3. Step 3: Cross multiply
    188,537x = 406,599 × 406,599
  4. Step 4: Simplify right side
    188,537x = 165,322,746,801
  5. Step 5: Solve for x
    x = 165,322,746,801/188,537
  6. Step 6: Final answer
    x = 876,871.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.