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Finding the Third Proportional to 166,677.75 and 270,793.13

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Solution

The third proportional to 166,677.75 and 270,793.13 is: 439,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,677.75 : 270,793.13 = 270,793.13 : x
  2. Step 2: Convert to fraction form
    166,677.75/270,793.13 = 270,793.13/x
  3. Step 3: Cross multiply
    166,677.75x = 270,793.13 × 270,793.13
  4. Step 4: Simplify right side
    166,677.75x = 73,328,916,547.27
  5. Step 5: Solve for x
    x = 73,328,916,547.27/166,677.75
  6. Step 6: Final answer
    x = 439,944.24

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.