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Finding the Third Proportional to 239,497.25 and 333,001.75

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Solution

The third proportional to 239,497.25 and 333,001.75 is: 463,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,497.25 : 333,001.75 = 333,001.75 : x
  2. Step 2: Convert to fraction form
    239,497.25/333,001.75 = 333,001.75/x
  3. Step 3: Cross multiply
    239,497.25x = 333,001.75 × 333,001.75
  4. Step 4: Simplify right side
    239,497.25x = 110,890,165,503.06
  5. Step 5: Solve for x
    x = 110,890,165,503.06/239,497.25
  6. Step 6: Final answer
    x = 463,012.27

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Why These Related Problems?

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