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Finding the Third Proportional to 146,620.13 and 321,306.75

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Solution

The third proportional to 146,620.13 and 321,306.75 is: 704,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,620.13 : 321,306.75 = 321,306.75 : x
  2. Step 2: Convert to fraction form
    146,620.13/321,306.75 = 321,306.75/x
  3. Step 3: Cross multiply
    146,620.13x = 321,306.75 × 321,306.75
  4. Step 4: Simplify right side
    146,620.13x = 103,238,027,595.56
  5. Step 5: Solve for x
    x = 103,238,027,595.56/146,620.13
  6. Step 6: Final answer
    x = 704,119.08

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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.