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Finding the Third Proportional to 127,357 and 275,475

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Solution

The third proportional to 127,357 and 275,475 is: 595,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,357 : 275,475 = 275,475 : x
  2. Step 2: Convert to fraction form
    127,357/275,475 = 275,475/x
  3. Step 3: Cross multiply
    127,357x = 275,475 × 275,475
  4. Step 4: Simplify right side
    127,357x = 75,886,475,625
  5. Step 5: Solve for x
    x = 75,886,475,625/127,357
  6. Step 6: Final answer
    x = 595,856.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.