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Finding the Third Proportional to 146,360 and 225,948

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Solution

The third proportional to 146,360 and 225,948 is: 348,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,360 : 225,948 = 225,948 : x
  2. Step 2: Convert to fraction form
    146,360/225,948 = 225,948/x
  3. Step 3: Cross multiply
    146,360x = 225,948 × 225,948
  4. Step 4: Simplify right side
    146,360x = 51,052,498,704
  5. Step 5: Solve for x
    x = 51,052,498,704/146,360
  6. Step 6: Final answer
    x = 348,814.56

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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.