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Finding the Third Proportional to 239,483.25 and 399,124.13

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Solution

The third proportional to 239,483.25 and 399,124.13 is: 665,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,483.25 : 399,124.13 = 399,124.13 : x
  2. Step 2: Convert to fraction form
    239,483.25/399,124.13 = 399,124.13/x
  3. Step 3: Cross multiply
    239,483.25x = 399,124.13 × 399,124.13
  4. Step 4: Simplify right side
    239,483.25x = 159,300,067,157.02
  5. Step 5: Solve for x
    x = 159,300,067,157.02/239,483.25
  6. Step 6: Final answer
    x = 665,182.50

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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.