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Finding the Third Proportional to 82,698.89 and 179,400.66

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Solution

The third proportional to 82,698.89 and 179,400.66 is: 389,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,698.89 : 179,400.66 = 179,400.66 : x
  2. Step 2: Convert to fraction form
    82,698.89/179,400.66 = 179,400.66/x
  3. Step 3: Cross multiply
    82,698.89x = 179,400.66 × 179,400.66
  4. Step 4: Simplify right side
    82,698.89x = 32,184,595,462.93
  5. Step 5: Solve for x
    x = 32,184,595,462.93/82,698.89
  6. Step 6: Final answer
    x = 389,178.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.