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Finding the Third Proportional to 239,484.09 and 359,260.31

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Solution

The third proportional to 239,484.09 and 359,260.31 is: 538,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,484.09 : 359,260.31 = 359,260.31 : x
  2. Step 2: Convert to fraction form
    239,484.09/359,260.31 = 359,260.31/x
  3. Step 3: Cross multiply
    239,484.09x = 359,260.31 × 359,260.31
  4. Step 4: Simplify right side
    239,484.09x = 129,067,972,137.60
  5. Step 5: Solve for x
    x = 129,067,972,137.60/239,484.09
  6. Step 6: Final answer
    x = 538,941.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.