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Finding the Third Proportional to 114.98 and 177.96

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Solution

The third proportional to 114.98 and 177.96 is: 275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.98 : 177.96 = 177.96 : x
  2. Step 2: Convert to fraction form
    114.98/177.96 = 177.96/x
  3. Step 3: Cross multiply
    114.98x = 177.96 × 177.96
  4. Step 4: Simplify right side
    114.98x = 31,670.10
  5. Step 5: Solve for x
    x = 31,670.10/114.98
  6. Step 6: Final answer
    x = 275.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.