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Finding the Third Proportional to 172,776.80 and 257,832.49

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Solution

The third proportional to 172,776.80 and 257,832.49 is: 384,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,776.80 : 257,832.49 = 257,832.49 : x
  2. Step 2: Convert to fraction form
    172,776.80/257,832.49 = 257,832.49/x
  3. Step 3: Cross multiply
    172,776.80x = 257,832.49 × 257,832.49
  4. Step 4: Simplify right side
    172,776.80x = 66,477,594,027.62
  5. Step 5: Solve for x
    x = 66,477,594,027.62/172,776.80
  6. Step 6: Final answer
    x = 384,759.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.