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Finding the Third Proportional to 155,363.25 and 239,913.75

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Solution

The third proportional to 155,363.25 and 239,913.75 is: 370,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,363.25 : 239,913.75 = 239,913.75 : x
  2. Step 2: Convert to fraction form
    155,363.25/239,913.75 = 239,913.75/x
  3. Step 3: Cross multiply
    155,363.25x = 239,913.75 × 239,913.75
  4. Step 4: Simplify right side
    155,363.25x = 57,558,607,439.06
  5. Step 5: Solve for x
    x = 57,558,607,439.06/155,363.25
  6. Step 6: Final answer
    x = 370,477.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.