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Finding the Third Proportional to 174,548.81 and 266,899.92

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Solution

The third proportional to 174,548.81 and 266,899.92 is: 408,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,548.81 : 266,899.92 = 266,899.92 : x
  2. Step 2: Convert to fraction form
    174,548.81/266,899.92 = 266,899.92/x
  3. Step 3: Cross multiply
    174,548.81x = 266,899.92 × 266,899.92
  4. Step 4: Simplify right side
    174,548.81x = 71,235,568,296.88
  5. Step 5: Solve for x
    x = 71,235,568,296.88/174,548.81
  6. Step 6: Final answer
    x = 408,112.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.