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Finding the Third Proportional to 77,464.25 and 164,229.25

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Solution

The third proportional to 77,464.25 and 164,229.25 is: 348,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,464.25 : 164,229.25 = 164,229.25 : x
  2. Step 2: Convert to fraction form
    77,464.25/164,229.25 = 164,229.25/x
  3. Step 3: Cross multiply
    77,464.25x = 164,229.25 × 164,229.25
  4. Step 4: Simplify right side
    77,464.25x = 26,971,246,555.56
  5. Step 5: Solve for x
    x = 26,971,246,555.56/77,464.25
  6. Step 6: Final answer
    x = 348,176.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.