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Finding the Third Proportional to 225,074 and 356,403

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Solution

The third proportional to 225,074 and 356,403 is: 564,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,074 : 356,403 = 356,403 : x
  2. Step 2: Convert to fraction form
    225,074/356,403 = 356,403/x
  3. Step 3: Cross multiply
    225,074x = 356,403 × 356,403
  4. Step 4: Simplify right side
    225,074x = 127,023,098,409
  5. Step 5: Solve for x
    x = 127,023,098,409/225,074
  6. Step 6: Final answer
    x = 564,361.49

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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.