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Finding the Third Proportional to 239,437 and 357,079

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Solution

The third proportional to 239,437 and 357,079 is: 532,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,437 : 357,079 = 357,079 : x
  2. Step 2: Convert to fraction form
    239,437/357,079 = 357,079/x
  3. Step 3: Cross multiply
    239,437x = 357,079 × 357,079
  4. Step 4: Simplify right side
    239,437x = 127,505,412,241
  5. Step 5: Solve for x
    x = 127,505,412,241/239,437
  6. Step 6: Final answer
    x = 532,521.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.