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Finding the Third Proportional to 166,167 and 250,774.50

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Solution

The third proportional to 166,167 and 250,774.50 is: 378,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,167 : 250,774.50 = 250,774.50 : x
  2. Step 2: Convert to fraction form
    166,167/250,774.50 = 250,774.50/x
  3. Step 3: Cross multiply
    166,167x = 250,774.50 × 250,774.50
  4. Step 4: Simplify right side
    166,167x = 62,887,849,850.25
  5. Step 5: Solve for x
    x = 62,887,849,850.25/166,167
  6. Step 6: Final answer
    x = 378,461.73

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