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Finding the Third Proportional to 76,567.78 and 166,234.78

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Solution

The third proportional to 76,567.78 and 166,234.78 is: 360,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,567.78 : 166,234.78 = 166,234.78 : x
  2. Step 2: Convert to fraction form
    76,567.78/166,234.78 = 166,234.78/x
  3. Step 3: Cross multiply
    76,567.78x = 166,234.78 × 166,234.78
  4. Step 4: Simplify right side
    76,567.78x = 27,634,002,497.24
  5. Step 5: Solve for x
    x = 27,634,002,497.24/76,567.78
  6. Step 6: Final answer
    x = 360,909.01

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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.