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Finding the Third Proportional to 78,041.38 and 168,230.75

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Solution

The third proportional to 78,041.38 and 168,230.75 is: 362,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,041.38 : 168,230.75 = 168,230.75 : x
  2. Step 2: Convert to fraction form
    78,041.38/168,230.75 = 168,230.75/x
  3. Step 3: Cross multiply
    78,041.38x = 168,230.75 × 168,230.75
  4. Step 4: Simplify right side
    78,041.38x = 28,301,585,245.56
  5. Step 5: Solve for x
    x = 28,301,585,245.56/78,041.38
  6. Step 6: Final answer
    x = 362,648.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.