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Finding the Third Proportional to 239,894 and 352,065

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Solution

The third proportional to 239,894 and 352,065 is: 516,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,894 : 352,065 = 352,065 : x
  2. Step 2: Convert to fraction form
    239,894/352,065 = 352,065/x
  3. Step 3: Cross multiply
    239,894x = 352,065 × 352,065
  4. Step 4: Simplify right side
    239,894x = 123,949,764,225
  5. Step 5: Solve for x
    x = 123,949,764,225/239,894
  6. Step 6: Final answer
    x = 516,685.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.