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Finding the Third Proportional to 117.42 and 184.99

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Solution

The third proportional to 117.42 and 184.99 is: 291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.42 : 184.99 = 184.99 : x
  2. Step 2: Convert to fraction form
    117.42/184.99 = 184.99/x
  3. Step 3: Cross multiply
    117.42x = 184.99 × 184.99
  4. Step 4: Simplify right side
    117.42x = 34,222.11
  5. Step 5: Solve for x
    x = 34,222.11/117.42
  6. Step 6: Final answer
    x = 291.45

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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.