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Finding the Third Proportional to 239,204 and 370,382

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Solution

The third proportional to 239,204 and 370,382 is: 573,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,204 : 370,382 = 370,382 : x
  2. Step 2: Convert to fraction form
    239,204/370,382 = 370,382/x
  3. Step 3: Cross multiply
    239,204x = 370,382 × 370,382
  4. Step 4: Simplify right side
    239,204x = 137,182,825,924
  5. Step 5: Solve for x
    x = 137,182,825,924/239,204
  6. Step 6: Final answer
    x = 573,497.21

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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.