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Finding the Third Proportional to 146,577.38 and 321,207.75

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Solution

The third proportional to 146,577.38 and 321,207.75 is: 703,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,577.38 : 321,207.75 = 321,207.75 : x
  2. Step 2: Convert to fraction form
    146,577.38/321,207.75 = 321,207.75/x
  3. Step 3: Cross multiply
    146,577.38x = 321,207.75 × 321,207.75
  4. Step 4: Simplify right side
    146,577.38x = 103,174,418,660.06
  5. Step 5: Solve for x
    x = 103,174,418,660.06/146,577.38
  6. Step 6: Final answer
    x = 703,890.48

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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.