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Finding the Third Proportional to 117,402.75 and 178,348.50

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Solution

The third proportional to 117,402.75 and 178,348.50 is: 270,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,402.75 : 178,348.50 = 178,348.50 : x
  2. Step 2: Convert to fraction form
    117,402.75/178,348.50 = 178,348.50/x
  3. Step 3: Cross multiply
    117,402.75x = 178,348.50 × 178,348.50
  4. Step 4: Simplify right side
    117,402.75x = 31,808,187,452.25
  5. Step 5: Solve for x
    x = 31,808,187,452.25/117,402.75
  6. Step 6: Final answer
    x = 270,932.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.