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Finding the Third Proportional to 225,482 and 356,775

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Solution

The third proportional to 225,482 and 356,775 is: 564,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,482 : 356,775 = 356,775 : x
  2. Step 2: Convert to fraction form
    225,482/356,775 = 356,775/x
  3. Step 3: Cross multiply
    225,482x = 356,775 × 356,775
  4. Step 4: Simplify right side
    225,482x = 127,288,400,625
  5. Step 5: Solve for x
    x = 127,288,400,625/225,482
  6. Step 6: Final answer
    x = 564,516.90

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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.