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Finding the Third Proportional to 147.66 and 232.03

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Solution

The third proportional to 147.66 and 232.03 is: 364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 232.03 = 232.03 : x
  2. Step 2: Convert to fraction form
    147.66/232.03 = 232.03/x
  3. Step 3: Cross multiply
    147.66x = 232.03 × 232.03
  4. Step 4: Simplify right side
    147.66x = 53,838.50
  5. Step 5: Solve for x
    x = 53,838.50/147.66
  6. Step 6: Final answer
    x = 364.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.