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Finding the Third Proportional to 153.47 and 229.64

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Solution

The third proportional to 153.47 and 229.64 is: 343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.47 : 229.64 = 229.64 : x
  2. Step 2: Convert to fraction form
    153.47/229.64 = 229.64/x
  3. Step 3: Cross multiply
    153.47x = 229.64 × 229.64
  4. Step 4: Simplify right side
    153.47x = 52,734.82
  5. Step 5: Solve for x
    x = 52,734.82/153.47
  6. Step 6: Final answer
    x = 343.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.