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Finding the Third Proportional to 266,122.97 and 421,343.02

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Solution

The third proportional to 266,122.97 and 421,343.02 is: 667,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,122.97 : 421,343.02 = 421,343.02 : x
  2. Step 2: Convert to fraction form
    266,122.97/421,343.02 = 421,343.02/x
  3. Step 3: Cross multiply
    266,122.97x = 421,343.02 × 421,343.02
  4. Step 4: Simplify right side
    266,122.97x = 177,529,936,815.97
  5. Step 5: Solve for x
    x = 177,529,936,815.97/266,122.97
  6. Step 6: Final answer
    x = 667,097.39

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.