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Finding the Third Proportional to 239,676 and 522,250.50

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Solution

The third proportional to 239,676 and 522,250.50 is: 1,137,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,676 : 522,250.50 = 522,250.50 : x
  2. Step 2: Convert to fraction form
    239,676/522,250.50 = 522,250.50/x
  3. Step 3: Cross multiply
    239,676x = 522,250.50 × 522,250.50
  4. Step 4: Simplify right side
    239,676x = 272,745,584,750.25
  5. Step 5: Solve for x
    x = 272,745,584,750.25/239,676
  6. Step 6: Final answer
    x = 1,137,976.20

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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.