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Finding the Third Proportional to 247.50 and 583.31

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Solution

The third proportional to 247.50 and 583.31 is: 1,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.50 : 583.31 = 583.31 : x
  2. Step 2: Convert to fraction form
    247.50/583.31 = 583.31/x
  3. Step 3: Cross multiply
    247.50x = 583.31 × 583.31
  4. Step 4: Simplify right side
    247.50x = 340,253.47
  5. Step 5: Solve for x
    x = 340,253.47/247.50
  6. Step 6: Final answer
    x = 1,374.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.