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Finding the Third Proportional to 252.42 and 534.89

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Solution

The third proportional to 252.42 and 534.89 is: 1,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.42 : 534.89 = 534.89 : x
  2. Step 2: Convert to fraction form
    252.42/534.89 = 534.89/x
  3. Step 3: Cross multiply
    252.42x = 534.89 × 534.89
  4. Step 4: Simplify right side
    252.42x = 286,107.98
  5. Step 5: Solve for x
    x = 286,107.98/252.42
  6. Step 6: Final answer
    x = 1,133.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.