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Finding the Third Proportional to 127,584 and 279,432

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Solution

The third proportional to 127,584 and 279,432 is: 612,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,584 : 279,432 = 279,432 : x
  2. Step 2: Convert to fraction form
    127,584/279,432 = 279,432/x
  3. Step 3: Cross multiply
    127,584x = 279,432 × 279,432
  4. Step 4: Simplify right side
    127,584x = 78,082,242,624
  5. Step 5: Solve for x
    x = 78,082,242,624/127,584
  6. Step 6: Final answer
    x = 612,006.54

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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.