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Finding the Third Proportional to 153.77 and 229.71

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Solution

The third proportional to 153.77 and 229.71 is: 343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 229.71 = 229.71 : x
  2. Step 2: Convert to fraction form
    153.77/229.71 = 229.71/x
  3. Step 3: Cross multiply
    153.77x = 229.71 × 229.71
  4. Step 4: Simplify right side
    153.77x = 52,767.11
  5. Step 5: Solve for x
    x = 52,767.11/153.77
  6. Step 6: Final answer
    x = 343.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.