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Finding the Third Proportional to 184,649 and 400,402

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Solution

The third proportional to 184,649 and 400,402 is: 868,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,649 : 400,402 = 400,402 : x
  2. Step 2: Convert to fraction form
    184,649/400,402 = 400,402/x
  3. Step 3: Cross multiply
    184,649x = 400,402 × 400,402
  4. Step 4: Simplify right side
    184,649x = 160,321,761,604
  5. Step 5: Solve for x
    x = 160,321,761,604/184,649
  6. Step 6: Final answer
    x = 868,251.45

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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.