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Finding the Third Proportional to 239,496.75 and 333,001.13

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Solution

The third proportional to 239,496.75 and 333,001.13 is: 463,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,496.75 : 333,001.13 = 333,001.13 : x
  2. Step 2: Convert to fraction form
    239,496.75/333,001.13 = 333,001.13/x
  3. Step 3: Cross multiply
    239,496.75x = 333,001.13 × 333,001.13
  4. Step 4: Simplify right side
    239,496.75x = 110,889,749,251.27
  5. Step 5: Solve for x
    x = 110,889,749,251.27/239,496.75
  6. Step 6: Final answer
    x = 463,011.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.