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Finding the Third Proportional to 177,357.75 and 267,877.50

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Solution

The third proportional to 177,357.75 and 267,877.50 is: 404,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,357.75 : 267,877.50 = 267,877.50 : x
  2. Step 2: Convert to fraction form
    177,357.75/267,877.50 = 267,877.50/x
  3. Step 3: Cross multiply
    177,357.75x = 267,877.50 × 267,877.50
  4. Step 4: Simplify right side
    177,357.75x = 71,758,355,006.25
  5. Step 5: Solve for x
    x = 71,758,355,006.25/177,357.75
  6. Step 6: Final answer
    x = 404,596.67

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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.