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Finding the Third Proportional to 120.38 and 176.63

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Solution

The third proportional to 120.38 and 176.63 is: 259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 176.63 = 176.63 : x
  2. Step 2: Convert to fraction form
    120.38/176.63 = 176.63/x
  3. Step 3: Cross multiply
    120.38x = 176.63 × 176.63
  4. Step 4: Simplify right side
    120.38x = 31,196.39
  5. Step 5: Solve for x
    x = 31,196.39/120.38
  6. Step 6: Final answer
    x = 259.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.