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Finding the Third Proportional to 229.13 and 488.63

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Solution

The third proportional to 229.13 and 488.63 is: 1,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.13 : 488.63 = 488.63 : x
  2. Step 2: Convert to fraction form
    229.13/488.63 = 488.63/x
  3. Step 3: Cross multiply
    229.13x = 488.63 × 488.63
  4. Step 4: Simplify right side
    229.13x = 238,754.39
  5. Step 5: Solve for x
    x = 238,754.39/229.13
  6. Step 6: Final answer
    x = 1,042.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.