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Finding the Third Proportional to 143,649 and 291,402

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Solution

The third proportional to 143,649 and 291,402 is: 591,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,649 : 291,402 = 291,402 : x
  2. Step 2: Convert to fraction form
    143,649/291,402 = 291,402/x
  3. Step 3: Cross multiply
    143,649x = 291,402 × 291,402
  4. Step 4: Simplify right side
    143,649x = 84,915,125,604
  5. Step 5: Solve for x
    x = 84,915,125,604/143,649
  6. Step 6: Final answer
    x = 591,129.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.