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Finding the Third Proportional to 146,366 and 225,957

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Solution

The third proportional to 146,366 and 225,957 is: 348,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,366 : 225,957 = 225,957 : x
  2. Step 2: Convert to fraction form
    146,366/225,957 = 225,957/x
  3. Step 3: Cross multiply
    146,366x = 225,957 × 225,957
  4. Step 4: Simplify right side
    146,366x = 51,056,565,849
  5. Step 5: Solve for x
    x = 51,056,565,849/146,366
  6. Step 6: Final answer
    x = 348,828.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.