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Finding the Third Proportional to 282.66 and 577.27

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Solution

The third proportional to 282.66 and 577.27 is: 1,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.66 : 577.27 = 577.27 : x
  2. Step 2: Convert to fraction form
    282.66/577.27 = 577.27/x
  3. Step 3: Cross multiply
    282.66x = 577.27 × 577.27
  4. Step 4: Simplify right side
    282.66x = 333,235.60
  5. Step 5: Solve for x
    x = 333,235.60/282.66
  6. Step 6: Final answer
    x = 1,178.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.