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Finding the Third Proportional to 229,792.50 and 330,972.75

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Solution

The third proportional to 229,792.50 and 330,972.75 is: 476,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,792.50 : 330,972.75 = 330,972.75 : x
  2. Step 2: Convert to fraction form
    229,792.50/330,972.75 = 330,972.75/x
  3. Step 3: Cross multiply
    229,792.50x = 330,972.75 × 330,972.75
  4. Step 4: Simplify right side
    229,792.50x = 109,542,961,242.56
  5. Step 5: Solve for x
    x = 109,542,961,242.56/229,792.50
  6. Step 6: Final answer
    x = 476,703.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.