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Finding the Third Proportional to 131,350 and 284,716

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Solution

The third proportional to 131,350 and 284,716 is: 617,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,350 : 284,716 = 284,716 : x
  2. Step 2: Convert to fraction form
    131,350/284,716 = 284,716/x
  3. Step 3: Cross multiply
    131,350x = 284,716 × 284,716
  4. Step 4: Simplify right side
    131,350x = 81,063,200,656
  5. Step 5: Solve for x
    x = 81,063,200,656/131,350
  6. Step 6: Final answer
    x = 617,154.17

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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.