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Finding the Third Proportional to 131,456 and 283,552

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Solution

The third proportional to 131,456 and 283,552 is: 611,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,456 : 283,552 = 283,552 : x
  2. Step 2: Convert to fraction form
    131,456/283,552 = 283,552/x
  3. Step 3: Cross multiply
    131,456x = 283,552 × 283,552
  4. Step 4: Simplify right side
    131,456x = 80,401,736,704
  5. Step 5: Solve for x
    x = 80,401,736,704/131,456
  6. Step 6: Final answer
    x = 611,624.70

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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.