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Finding the Third Proportional to 169,150.78 and 364,744.27

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Solution

The third proportional to 169,150.78 and 364,744.27 is: 786,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,150.78 : 364,744.27 = 364,744.27 : x
  2. Step 2: Convert to fraction form
    169,150.78/364,744.27 = 364,744.27/x
  3. Step 3: Cross multiply
    169,150.78x = 364,744.27 × 364,744.27
  4. Step 4: Simplify right side
    169,150.78x = 133,038,379,306.32
  5. Step 5: Solve for x
    x = 133,038,379,306.32/169,150.78
  6. Step 6: Final answer
    x = 786,507.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.