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Finding the Third Proportional to 220.85 and 507.52

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Solution

The third proportional to 220.85 and 507.52 is: 1,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.85 : 507.52 = 507.52 : x
  2. Step 2: Convert to fraction form
    220.85/507.52 = 507.52/x
  3. Step 3: Cross multiply
    220.85x = 507.52 × 507.52
  4. Step 4: Simplify right side
    220.85x = 257,572.11
  5. Step 5: Solve for x
    x = 257,572.11/220.85
  6. Step 6: Final answer
    x = 1,166.27

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.