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Finding the Third Proportional to 269.10 and 591.07

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Solution

The third proportional to 269.10 and 591.07 is: 1,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.10 : 591.07 = 591.07 : x
  2. Step 2: Convert to fraction form
    269.10/591.07 = 591.07/x
  3. Step 3: Cross multiply
    269.10x = 591.07 × 591.07
  4. Step 4: Simplify right side
    269.10x = 349,359.79
  5. Step 5: Solve for x
    x = 349,359.79/269.10
  6. Step 6: Final answer
    x = 1,298.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.