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Finding the Third Proportional to 171,064.13 and 264,899.25

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Solution

The third proportional to 171,064.13 and 264,899.25 is: 410,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,064.13 : 264,899.25 = 264,899.25 : x
  2. Step 2: Convert to fraction form
    171,064.13/264,899.25 = 264,899.25/x
  3. Step 3: Cross multiply
    171,064.13x = 264,899.25 × 264,899.25
  4. Step 4: Simplify right side
    171,064.13x = 70,171,612,650.56
  5. Step 5: Solve for x
    x = 70,171,612,650.56/171,064.13
  6. Step 6: Final answer
    x = 410,206.48

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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.