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Finding the Third Proportional to 171,057.38 and 264,889.13

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Solution

The third proportional to 171,057.38 and 264,889.13 is: 410,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,057.38 : 264,889.13 = 264,889.13 : x
  2. Step 2: Convert to fraction form
    171,057.38/264,889.13 = 264,889.13/x
  3. Step 3: Cross multiply
    171,057.38x = 264,889.13 × 264,889.13
  4. Step 4: Simplify right side
    171,057.38x = 70,166,248,543.27
  5. Step 5: Solve for x
    x = 70,166,248,543.27/171,057.38
  6. Step 6: Final answer
    x = 410,191.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.