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Finding the Third Proportional to 131,548 and 284,114

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Solution

The third proportional to 131,548 and 284,114 is: 613,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,548 : 284,114 = 284,114 : x
  2. Step 2: Convert to fraction form
    131,548/284,114 = 284,114/x
  3. Step 3: Cross multiply
    131,548x = 284,114 × 284,114
  4. Step 4: Simplify right side
    131,548x = 80,720,764,996
  5. Step 5: Solve for x
    x = 80,720,764,996/131,548
  6. Step 6: Final answer
    x = 613,622.14

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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.