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Finding the Third Proportional to 246.90 and 532.72

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Solution

The third proportional to 246.90 and 532.72 is: 1,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.90 : 532.72 = 532.72 : x
  2. Step 2: Convert to fraction form
    246.90/532.72 = 532.72/x
  3. Step 3: Cross multiply
    246.90x = 532.72 × 532.72
  4. Step 4: Simplify right side
    246.90x = 283,793.43
  5. Step 5: Solve for x
    x = 283,793.43/246.90
  6. Step 6: Final answer
    x = 1,149.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.