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Finding the Third Proportional to 1,136.06 and 1,240.69

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Solution

The third proportional to 1,136.06 and 1,240.69 is: 1,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.06 : 1,240.69 = 1,240.69 : x
  2. Step 2: Convert to fraction form
    1,136.06/1,240.69 = 1,240.69/x
  3. Step 3: Cross multiply
    1,136.06x = 1,240.69 × 1,240.69
  4. Step 4: Simplify right side
    1,136.06x = 1,539,305.47
  5. Step 5: Solve for x
    x = 1,539,305.47/1,136.06
  6. Step 6: Final answer
    x = 1,354.95

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.