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Finding the Third Proportional to 146,713.78 and 321,480.56

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Solution

The third proportional to 146,713.78 and 321,480.56 is: 704,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,713.78 : 321,480.56 = 321,480.56 : x
  2. Step 2: Convert to fraction form
    146,713.78/321,480.56 = 321,480.56/x
  3. Step 3: Cross multiply
    146,713.78x = 321,480.56 × 321,480.56
  4. Step 4: Simplify right side
    146,713.78x = 103,349,752,065.32
  5. Step 5: Solve for x
    x = 103,349,752,065.32/146,713.78
  6. Step 6: Final answer
    x = 704,431.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.