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Finding the Third Proportional to 244.27 and 565.10

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Solution

The third proportional to 244.27 and 565.10 is: 1,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.27 : 565.10 = 565.10 : x
  2. Step 2: Convert to fraction form
    244.27/565.10 = 565.10/x
  3. Step 3: Cross multiply
    244.27x = 565.10 × 565.10
  4. Step 4: Simplify right side
    244.27x = 319,339.78
  5. Step 5: Solve for x
    x = 319,339.78/244.27
  6. Step 6: Final answer
    x = 1,307.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.