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Finding the Third Proportional to 262.25 and 491.88

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Solution

The third proportional to 262.25 and 491.88 is: 922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.25 : 491.88 = 491.88 : x
  2. Step 2: Convert to fraction form
    262.25/491.88 = 491.88/x
  3. Step 3: Cross multiply
    262.25x = 491.88 × 491.88
  4. Step 4: Simplify right side
    262.25x = 241,941.02
  5. Step 5: Solve for x
    x = 241,941.02/262.25
  6. Step 6: Final answer
    x = 922.56

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.