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Finding the Third Proportional to 131,247 and 286,552

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Solution

The third proportional to 131,247 and 286,552 is: 625,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,247 : 286,552 = 286,552 : x
  2. Step 2: Convert to fraction form
    131,247/286,552 = 286,552/x
  3. Step 3: Cross multiply
    131,247x = 286,552 × 286,552
  4. Step 4: Simplify right side
    131,247x = 82,112,048,704
  5. Step 5: Solve for x
    x = 82,112,048,704/131,247
  6. Step 6: Final answer
    x = 625,629.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.