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Finding the Third Proportional to 70,340.50 and 166,047.25

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Solution

The third proportional to 70,340.50 and 166,047.25 is: 391,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,340.50 : 166,047.25 = 166,047.25 : x
  2. Step 2: Convert to fraction form
    70,340.50/166,047.25 = 166,047.25/x
  3. Step 3: Cross multiply
    70,340.50x = 166,047.25 × 166,047.25
  4. Step 4: Simplify right side
    70,340.50x = 27,571,689,232.56
  5. Step 5: Solve for x
    x = 27,571,689,232.56/70,340.50
  6. Step 6: Final answer
    x = 391,974.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.