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Finding the Third Proportional to 148,034 and 225,735

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Solution

The third proportional to 148,034 and 225,735 is: 344,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,034 : 225,735 = 225,735 : x
  2. Step 2: Convert to fraction form
    148,034/225,735 = 225,735/x
  3. Step 3: Cross multiply
    148,034x = 225,735 × 225,735
  4. Step 4: Simplify right side
    148,034x = 50,956,290,225
  5. Step 5: Solve for x
    x = 50,956,290,225/148,034
  6. Step 6: Final answer
    x = 344,220.18

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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.