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Finding the Third Proportional to 166,149 and 251,206.50

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Solution

The third proportional to 166,149 and 251,206.50 is: 379,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,149 : 251,206.50 = 251,206.50 : x
  2. Step 2: Convert to fraction form
    166,149/251,206.50 = 251,206.50/x
  3. Step 3: Cross multiply
    166,149x = 251,206.50 × 251,206.50
  4. Step 4: Simplify right side
    166,149x = 63,104,705,642.25
  5. Step 5: Solve for x
    x = 63,104,705,642.25/166,149
  6. Step 6: Final answer
    x = 379,807.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.