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Finding the Third Proportional to 146,994.75 and 322,008.75

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Solution

The third proportional to 146,994.75 and 322,008.75 is: 705,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,994.75 : 322,008.75 = 322,008.75 : x
  2. Step 2: Convert to fraction form
    146,994.75/322,008.75 = 322,008.75/x
  3. Step 3: Cross multiply
    146,994.75x = 322,008.75 × 322,008.75
  4. Step 4: Simplify right side
    146,994.75x = 103,689,635,076.56
  5. Step 5: Solve for x
    x = 103,689,635,076.56/146,994.75
  6. Step 6: Final answer
    x = 705,396.86

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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.