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Finding the Third Proportional to 188,644 and 404,282

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Solution

The third proportional to 188,644 and 404,282 is: 866,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,644 : 404,282 = 404,282 : x
  2. Step 2: Convert to fraction form
    188,644/404,282 = 404,282/x
  3. Step 3: Cross multiply
    188,644x = 404,282 × 404,282
  4. Step 4: Simplify right side
    188,644x = 163,443,935,524
  5. Step 5: Solve for x
    x = 163,443,935,524/188,644
  6. Step 6: Final answer
    x = 866,414.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.