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Finding the Third Proportional to 168,424.50 and 364,881.75

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Solution

The third proportional to 168,424.50 and 364,881.75 is: 790,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,424.50 : 364,881.75 = 364,881.75 : x
  2. Step 2: Convert to fraction form
    168,424.50/364,881.75 = 364,881.75/x
  3. Step 3: Cross multiply
    168,424.50x = 364,881.75 × 364,881.75
  4. Step 4: Simplify right side
    168,424.50x = 133,138,691,483.06
  5. Step 5: Solve for x
    x = 133,138,691,483.06/168,424.50
  6. Step 6: Final answer
    x = 790,494.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.