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Finding the Third Proportional to 114.66 and 176.95

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Solution

The third proportional to 114.66 and 176.95 is: 273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.66 : 176.95 = 176.95 : x
  2. Step 2: Convert to fraction form
    114.66/176.95 = 176.95/x
  3. Step 3: Cross multiply
    114.66x = 176.95 × 176.95
  4. Step 4: Simplify right side
    114.66x = 31,312.41
  5. Step 5: Solve for x
    x = 31,312.41/114.66
  6. Step 6: Final answer
    x = 273.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.