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Finding the Third Proportional to 131,478 and 287,496

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Solution

The third proportional to 131,478 and 287,496 is: 628,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,478 : 287,496 = 287,496 : x
  2. Step 2: Convert to fraction form
    131,478/287,496 = 287,496/x
  3. Step 3: Cross multiply
    131,478x = 287,496 × 287,496
  4. Step 4: Simplify right side
    131,478x = 82,653,950,016
  5. Step 5: Solve for x
    x = 82,653,950,016/131,478
  6. Step 6: Final answer
    x = 628,652.32

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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.