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Finding the Third Proportional to 131,812 and 288,712

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Solution

The third proportional to 131,812 and 288,712 is: 632,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,812 : 288,712 = 288,712 : x
  2. Step 2: Convert to fraction form
    131,812/288,712 = 288,712/x
  3. Step 3: Cross multiply
    131,812x = 288,712 × 288,712
  4. Step 4: Simplify right side
    131,812x = 83,354,618,944
  5. Step 5: Solve for x
    x = 83,354,618,944/131,812
  6. Step 6: Final answer
    x = 632,375.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.