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Finding the Third Proportional to 239,298.75 and 522,065.25

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Solution

The third proportional to 239,298.75 and 522,065.25 is: 1,138,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,298.75 : 522,065.25 = 522,065.25 : x
  2. Step 2: Convert to fraction form
    239,298.75/522,065.25 = 522,065.25/x
  3. Step 3: Cross multiply
    239,298.75x = 522,065.25 × 522,065.25
  4. Step 4: Simplify right side
    239,298.75x = 272,552,125,257.56
  5. Step 5: Solve for x
    x = 272,552,125,257.56/239,298.75
  6. Step 6: Final answer
    x = 1,138,961.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.