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Finding the Third Proportional to 225.13 and 488.69

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Solution

The third proportional to 225.13 and 488.69 is: 1,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.13 : 488.69 = 488.69 : x
  2. Step 2: Convert to fraction form
    225.13/488.69 = 488.69/x
  3. Step 3: Cross multiply
    225.13x = 488.69 × 488.69
  4. Step 4: Simplify right side
    225.13x = 238,815.47
  5. Step 5: Solve for x
    x = 238,815.47/225.13
  6. Step 6: Final answer
    x = 1,060.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.