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Finding the Third Proportional to 148,438 and 302,059

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Solution

The third proportional to 148,438 and 302,059 is: 614,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,438 : 302,059 = 302,059 : x
  2. Step 2: Convert to fraction form
    148,438/302,059 = 302,059/x
  3. Step 3: Cross multiply
    148,438x = 302,059 × 302,059
  4. Step 4: Simplify right side
    148,438x = 91,239,639,481
  5. Step 5: Solve for x
    x = 91,239,639,481/148,438
  6. Step 6: Final answer
    x = 614,664.97

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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.