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Finding the Third Proportional to 246.80 and 531.88

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Solution

The third proportional to 246.80 and 531.88 is: 1,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.80 : 531.88 = 531.88 : x
  2. Step 2: Convert to fraction form
    246.80/531.88 = 531.88/x
  3. Step 3: Cross multiply
    246.80x = 531.88 × 531.88
  4. Step 4: Simplify right side
    246.80x = 282,895.17
  5. Step 5: Solve for x
    x = 282,895.17/246.80
  6. Step 6: Final answer
    x = 1,146.27

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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.