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Finding the Third Proportional to 77,646.75 and 166,367.25

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Solution

The third proportional to 77,646.75 and 166,367.25 is: 356,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,646.75 : 166,367.25 = 166,367.25 : x
  2. Step 2: Convert to fraction form
    77,646.75/166,367.25 = 166,367.25/x
  3. Step 3: Cross multiply
    77,646.75x = 166,367.25 × 166,367.25
  4. Step 4: Simplify right side
    77,646.75x = 27,678,061,872.56
  5. Step 5: Solve for x
    x = 27,678,061,872.56/77,646.75
  6. Step 6: Final answer
    x = 356,461.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.