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Finding the Third Proportional to 229.71 and 491.70

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Solution

The third proportional to 229.71 and 491.70 is: 1,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.71 : 491.70 = 491.70 : x
  2. Step 2: Convert to fraction form
    229.71/491.70 = 491.70/x
  3. Step 3: Cross multiply
    229.71x = 491.70 × 491.70
  4. Step 4: Simplify right side
    229.71x = 241,764.28
  5. Step 5: Solve for x
    x = 241,764.28/229.71
  6. Step 6: Final answer
    x = 1,052.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.