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Finding the Third Proportional to 131,192 and 287,008

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Solution

The third proportional to 131,192 and 287,008 is: 627,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,192 : 287,008 = 287,008 : x
  2. Step 2: Convert to fraction form
    131,192/287,008 = 287,008/x
  3. Step 3: Cross multiply
    131,192x = 287,008 × 287,008
  4. Step 4: Simplify right side
    131,192x = 82,373,592,064
  5. Step 5: Solve for x
    x = 82,373,592,064/131,192
  6. Step 6: Final answer
    x = 627,885.79

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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.