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Finding the Third Proportional to 118,317.38 and 178,713

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Solution

The third proportional to 118,317.38 and 178,713 is: 269,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,317.38 : 178,713 = 178,713 : x
  2. Step 2: Convert to fraction form
    118,317.38/178,713 = 178,713/x
  3. Step 3: Cross multiply
    118,317.38x = 178,713 × 178,713
  4. Step 4: Simplify right side
    118,317.38x = 31,938,336,369
  5. Step 5: Solve for x
    x = 31,938,336,369/118,317.38
  6. Step 6: Final answer
    x = 269,937.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.