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Finding the Third Proportional to 155,220.75 and 213,725.25

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Solution

The third proportional to 155,220.75 and 213,725.25 is: 294,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,220.75 : 213,725.25 = 213,725.25 : x
  2. Step 2: Convert to fraction form
    155,220.75/213,725.25 = 213,725.25/x
  3. Step 3: Cross multiply
    155,220.75x = 213,725.25 × 213,725.25
  4. Step 4: Simplify right side
    155,220.75x = 45,678,482,487.56
  5. Step 5: Solve for x
    x = 45,678,482,487.56/155,220.75
  6. Step 6: Final answer
    x = 294,280.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.