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Finding the Third Proportional to 117 and 184.88

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Solution

The third proportional to 117 and 184.88 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 184.88 = 184.88 : x
  2. Step 2: Convert to fraction form
    117/184.88 = 184.88/x
  3. Step 3: Cross multiply
    117x = 184.88 × 184.88
  4. Step 4: Simplify right side
    117x = 34,178.77
  5. Step 5: Solve for x
    x = 34,178.77/117
  6. Step 6: Final answer
    x = 292.13

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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.