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Finding the Third Proportional to 225,122 and 356,475

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Solution

The third proportional to 225,122 and 356,475 is: 564,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,122 : 356,475 = 356,475 : x
  2. Step 2: Convert to fraction form
    225,122/356,475 = 356,475/x
  3. Step 3: Cross multiply
    225,122x = 356,475 × 356,475
  4. Step 4: Simplify right side
    225,122x = 127,074,425,625
  5. Step 5: Solve for x
    x = 127,074,425,625/225,122
  6. Step 6: Final answer
    x = 564,469.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.