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Finding the Third Proportional to 147.66 and 233.02

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Solution

The third proportional to 147.66 and 233.02 is: 367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 233.02 = 233.02 : x
  2. Step 2: Convert to fraction form
    147.66/233.02 = 233.02/x
  3. Step 3: Cross multiply
    147.66x = 233.02 × 233.02
  4. Step 4: Simplify right side
    147.66x = 54,296.28
  5. Step 5: Solve for x
    x = 54,296.28/147.66
  6. Step 6: Final answer
    x = 367.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.