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Finding the Third Proportional to 252.07 and 469.34

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Solution

The third proportional to 252.07 and 469.34 is: 873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.07 : 469.34 = 469.34 : x
  2. Step 2: Convert to fraction form
    252.07/469.34 = 469.34/x
  3. Step 3: Cross multiply
    252.07x = 469.34 × 469.34
  4. Step 4: Simplify right side
    252.07x = 220,276.22
  5. Step 5: Solve for x
    x = 220,276.22/252.07
  6. Step 6: Final answer
    x = 873.87

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.