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Finding the Third Proportional to 246.19 and 532.94

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Solution

The third proportional to 246.19 and 532.94 is: 1,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.19 : 532.94 = 532.94 : x
  2. Step 2: Convert to fraction form
    246.19/532.94 = 532.94/x
  3. Step 3: Cross multiply
    246.19x = 532.94 × 532.94
  4. Step 4: Simplify right side
    246.19x = 284,022.38
  5. Step 5: Solve for x
    x = 284,022.38/246.19
  6. Step 6: Final answer
    x = 1,153.68

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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.