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Finding the Third Proportional to 131,584 and 289,412

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Solution

The third proportional to 131,584 and 289,412 is: 636,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,584 : 289,412 = 289,412 : x
  2. Step 2: Convert to fraction form
    131,584/289,412 = 289,412/x
  3. Step 3: Cross multiply
    131,584x = 289,412 × 289,412
  4. Step 4: Simplify right side
    131,584x = 83,759,305,744
  5. Step 5: Solve for x
    x = 83,759,305,744/131,584
  6. Step 6: Final answer
    x = 636,546.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.