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Finding the Third Proportional to 117,334 and 240,135

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Solution

The third proportional to 117,334 and 240,135 is: 491,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,334 : 240,135 = 240,135 : x
  2. Step 2: Convert to fraction form
    117,334/240,135 = 240,135/x
  3. Step 3: Cross multiply
    117,334x = 240,135 × 240,135
  4. Step 4: Simplify right side
    117,334x = 57,664,818,225
  5. Step 5: Solve for x
    x = 57,664,818,225/117,334
  6. Step 6: Final answer
    x = 491,458.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.