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Finding the Third Proportional to 134,631 and 291,549

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Solution

The third proportional to 134,631 and 291,549 is: 631,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,631 : 291,549 = 291,549 : x
  2. Step 2: Convert to fraction form
    134,631/291,549 = 291,549/x
  3. Step 3: Cross multiply
    134,631x = 291,549 × 291,549
  4. Step 4: Simplify right side
    134,631x = 85,000,819,401
  5. Step 5: Solve for x
    x = 85,000,819,401/134,631
  6. Step 6: Final answer
    x = 631,361.42

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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.