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Finding the Third Proportional to 243.88 and 565.94

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Solution

The third proportional to 243.88 and 565.94 is: 1,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.88 : 565.94 = 565.94 : x
  2. Step 2: Convert to fraction form
    243.88/565.94 = 565.94/x
  3. Step 3: Cross multiply
    243.88x = 565.94 × 565.94
  4. Step 4: Simplify right side
    243.88x = 320,285.25
  5. Step 5: Solve for x
    x = 320,285.25/243.88
  6. Step 6: Final answer
    x = 1,313.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.