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Finding the Third Proportional to 223.17 and 460.55

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Solution

The third proportional to 223.17 and 460.55 is: 950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.17 : 460.55 = 460.55 : x
  2. Step 2: Convert to fraction form
    223.17/460.55 = 460.55/x
  3. Step 3: Cross multiply
    223.17x = 460.55 × 460.55
  4. Step 4: Simplify right side
    223.17x = 212,103.42
  5. Step 5: Solve for x
    x = 212,103.42/223.17
  6. Step 6: Final answer
    x = 950.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.