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Finding the Third Proportional to 148,439.25 and 302,062.50

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Solution

The third proportional to 148,439.25 and 302,062.50 is: 614,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,439.25 : 302,062.50 = 302,062.50 : x
  2. Step 2: Convert to fraction form
    148,439.25/302,062.50 = 302,062.50/x
  3. Step 3: Cross multiply
    148,439.25x = 302,062.50 × 302,062.50
  4. Step 4: Simplify right side
    148,439.25x = 91,241,753,906.25
  5. Step 5: Solve for x
    x = 91,241,753,906.25/148,439.25
  6. Step 6: Final answer
    x = 614,674.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.