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Finding the Third Proportional to 177,314.63 and 266,149.13

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Solution

The third proportional to 177,314.63 and 266,149.13 is: 399,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,314.63 : 266,149.13 = 266,149.13 : x
  2. Step 2: Convert to fraction form
    177,314.63/266,149.13 = 266,149.13/x
  3. Step 3: Cross multiply
    177,314.63x = 266,149.13 × 266,149.13
  4. Step 4: Simplify right side
    177,314.63x = 70,835,356,738.27
  5. Step 5: Solve for x
    x = 70,835,356,738.27/177,314.63
  6. Step 6: Final answer
    x = 399,489.65

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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.