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Finding the Third Proportional to 148,152 and 225,873

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Solution

The third proportional to 148,152 and 225,873 is: 344,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,152 : 225,873 = 225,873 : x
  2. Step 2: Convert to fraction form
    148,152/225,873 = 225,873/x
  3. Step 3: Cross multiply
    148,152x = 225,873 × 225,873
  4. Step 4: Simplify right side
    148,152x = 51,018,612,129
  5. Step 5: Solve for x
    x = 51,018,612,129/148,152
  6. Step 6: Final answer
    x = 344,366.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.