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Finding the Third Proportional to 168,711.75 and 365,460.75

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Solution

The third proportional to 168,711.75 and 365,460.75 is: 791,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,711.75 : 365,460.75 = 365,460.75 : x
  2. Step 2: Convert to fraction form
    168,711.75/365,460.75 = 365,460.75/x
  3. Step 3: Cross multiply
    168,711.75x = 365,460.75 × 365,460.75
  4. Step 4: Simplify right side
    168,711.75x = 133,561,559,790.56
  5. Step 5: Solve for x
    x = 133,561,559,790.56/168,711.75
  6. Step 6: Final answer
    x = 791,655.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.