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Finding the Third Proportional to 180,960.75 and 266,170.50

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Solution

The third proportional to 180,960.75 and 266,170.50 is: 391,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,960.75 : 266,170.50 = 266,170.50 : x
  2. Step 2: Convert to fraction form
    180,960.75/266,170.50 = 266,170.50/x
  3. Step 3: Cross multiply
    180,960.75x = 266,170.50 × 266,170.50
  4. Step 4: Simplify right side
    180,960.75x = 70,846,735,070.25
  5. Step 5: Solve for x
    x = 70,846,735,070.25/180,960.75
  6. Step 6: Final answer
    x = 391,503.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.