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Finding the Third Proportional to 212,861.25 and 327,280.13

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Solution

The third proportional to 212,861.25 and 327,280.13 is: 503,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,861.25 : 327,280.13 = 327,280.13 : x
  2. Step 2: Convert to fraction form
    212,861.25/327,280.13 = 327,280.13/x
  3. Step 3: Cross multiply
    212,861.25x = 327,280.13 × 327,280.13
  4. Step 4: Simplify right side
    212,861.25x = 107,112,280,220.02
  5. Step 5: Solve for x
    x = 107,112,280,220.02/212,861.25
  6. Step 6: Final answer
    x = 503,202.35

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Why These Related Problems?

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