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Finding the Third Proportional to 221.65 and 354.10

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Solution

The third proportional to 221.65 and 354.10 is: 565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.65 : 354.10 = 354.10 : x
  2. Step 2: Convert to fraction form
    221.65/354.10 = 354.10/x
  3. Step 3: Cross multiply
    221.65x = 354.10 × 354.10
  4. Step 4: Simplify right side
    221.65x = 125,386.37
  5. Step 5: Solve for x
    x = 125,386.37/221.65
  6. Step 6: Final answer
    x = 565.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.