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Finding the Third Proportional to 237.87 and 482.27

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Solution

The third proportional to 237.87 and 482.27 is: 977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.87 : 482.27 = 482.27 : x
  2. Step 2: Convert to fraction form
    237.87/482.27 = 482.27/x
  3. Step 3: Cross multiply
    237.87x = 482.27 × 482.27
  4. Step 4: Simplify right side
    237.87x = 232,587.67
  5. Step 5: Solve for x
    x = 232,587.67/237.87
  6. Step 6: Final answer
    x = 977.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.