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Finding the Third Proportional to 148,032 and 225,729

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Solution

The third proportional to 148,032 and 225,729 is: 344,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,032 : 225,729 = 225,729 : x
  2. Step 2: Convert to fraction form
    148,032/225,729 = 225,729/x
  3. Step 3: Cross multiply
    148,032x = 225,729 × 225,729
  4. Step 4: Simplify right side
    148,032x = 50,953,581,441
  5. Step 5: Solve for x
    x = 50,953,581,441/148,032
  6. Step 6: Final answer
    x = 344,206.53

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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.