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Finding the Third Proportional to 131,453 and 287,227

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Solution

The third proportional to 131,453 and 287,227 is: 627,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,453 : 287,227 = 287,227 : x
  2. Step 2: Convert to fraction form
    131,453/287,227 = 287,227/x
  3. Step 3: Cross multiply
    131,453x = 287,227 × 287,227
  4. Step 4: Simplify right side
    131,453x = 82,499,349,529
  5. Step 5: Solve for x
    x = 82,499,349,529/131,453
  6. Step 6: Final answer
    x = 627,595.79

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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.