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Finding the Third Proportional to 225,486 and 356,781

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Solution

The third proportional to 225,486 and 356,781 is: 564,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,486 : 356,781 = 356,781 : x
  2. Step 2: Convert to fraction form
    225,486/356,781 = 356,781/x
  3. Step 3: Cross multiply
    225,486x = 356,781 × 356,781
  4. Step 4: Simplify right side
    225,486x = 127,292,681,961
  5. Step 5: Solve for x
    x = 127,292,681,961/225,486
  6. Step 6: Final answer
    x = 564,525.88

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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.