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Finding the Third Proportional to 225,078 and 356,409

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Solution

The third proportional to 225,078 and 356,409 is: 564,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,078 : 356,409 = 356,409 : x
  2. Step 2: Convert to fraction form
    225,078/356,409 = 356,409/x
  3. Step 3: Cross multiply
    225,078x = 356,409 × 356,409
  4. Step 4: Simplify right side
    225,078x = 127,027,375,281
  5. Step 5: Solve for x
    x = 127,027,375,281/225,078
  6. Step 6: Final answer
    x = 564,370.46

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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.