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Finding the Third Proportional to 239,488.50 and 399,132

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Solution

The third proportional to 239,488.50 and 399,132 is: 665,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,488.50 : 399,132 = 399,132 : x
  2. Step 2: Convert to fraction form
    239,488.50/399,132 = 399,132/x
  3. Step 3: Cross multiply
    239,488.50x = 399,132 × 399,132
  4. Step 4: Simplify right side
    239,488.50x = 159,306,353,424
  5. Step 5: Solve for x
    x = 159,306,353,424/239,488.50
  6. Step 6: Final answer
    x = 665,194.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.