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Finding the Third Proportional to 177,319.50 and 266,161.50

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Solution

The third proportional to 177,319.50 and 266,161.50 is: 399,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,319.50 : 266,161.50 = 266,161.50 : x
  2. Step 2: Convert to fraction form
    177,319.50/266,161.50 = 266,161.50/x
  3. Step 3: Cross multiply
    177,319.50x = 266,161.50 × 266,161.50
  4. Step 4: Simplify right side
    177,319.50x = 70,841,944,082.25
  5. Step 5: Solve for x
    x = 70,841,944,082.25/177,319.50
  6. Step 6: Final answer
    x = 399,515.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.