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Finding the Third Proportional to 247.78 and 529.31

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Solution

The third proportional to 247.78 and 529.31 is: 1,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.78 : 529.31 = 529.31 : x
  2. Step 2: Convert to fraction form
    247.78/529.31 = 529.31/x
  3. Step 3: Cross multiply
    247.78x = 529.31 × 529.31
  4. Step 4: Simplify right side
    247.78x = 280,171.72
  5. Step 5: Solve for x
    x = 280,171.72/247.78
  6. Step 6: Final answer
    x = 1,130.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.