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Finding the Third Proportional to 117,767.67 and 168,209.16

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Solution

The third proportional to 117,767.67 and 168,209.16 is: 240,255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,767.67 : 168,209.16 = 168,209.16 : x
  2. Step 2: Convert to fraction form
    117,767.67/168,209.16 = 168,209.16/x
  3. Step 3: Cross multiply
    117,767.67x = 168,209.16 × 168,209.16
  4. Step 4: Simplify right side
    117,767.67x = 28,294,320,246.34
  5. Step 5: Solve for x
    x = 28,294,320,246.34/117,767.67
  6. Step 6: Final answer
    x = 240,255.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.