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Finding the Third Proportional to 239,282.38 and 370,687.96

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Solution

The third proportional to 239,282.38 and 370,687.96 is: 574,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,282.38 : 370,687.96 = 370,687.96 : x
  2. Step 2: Convert to fraction form
    239,282.38/370,687.96 = 370,687.96/x
  3. Step 3: Cross multiply
    239,282.38x = 370,687.96 × 370,687.96
  4. Step 4: Simplify right side
    239,282.38x = 137,409,561,488.00
  5. Step 5: Solve for x
    x = 137,409,561,488.00/239,282.38
  6. Step 6: Final answer
    x = 574,256.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.