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Finding the Third Proportional to 252.03 and 527.16

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Solution

The third proportional to 252.03 and 527.16 is: 1,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.03 : 527.16 = 527.16 : x
  2. Step 2: Convert to fraction form
    252.03/527.16 = 527.16/x
  3. Step 3: Cross multiply
    252.03x = 527.16 × 527.16
  4. Step 4: Simplify right side
    252.03x = 277,901.95
  5. Step 5: Solve for x
    x = 277,901.95/252.03
  6. Step 6: Final answer
    x = 1,102.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.