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Finding the Third Proportional to 117 and 271.88

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Solution

The third proportional to 117 and 271.88 is: 631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 271.88 = 271.88 : x
  2. Step 2: Convert to fraction form
    117/271.88 = 271.88/x
  3. Step 3: Cross multiply
    117x = 271.88 × 271.88
  4. Step 4: Simplify right side
    117x = 73,916.02
  5. Step 5: Solve for x
    x = 73,916.02/117
  6. Step 6: Final answer
    x = 631.76

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.