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Finding the Third Proportional to 152,781.75 and 336,019.50

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Solution

The third proportional to 152,781.75 and 336,019.50 is: 739,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,781.75 : 336,019.50 = 336,019.50 : x
  2. Step 2: Convert to fraction form
    152,781.75/336,019.50 = 336,019.50/x
  3. Step 3: Cross multiply
    152,781.75x = 336,019.50 × 336,019.50
  4. Step 4: Simplify right side
    152,781.75x = 112,909,104,380.25
  5. Step 5: Solve for x
    x = 112,909,104,380.25/152,781.75
  6. Step 6: Final answer
    x = 739,022.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.