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Finding the Third Proportional to 212,854.50 and 327,270.38

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Solution

The third proportional to 212,854.50 and 327,270.38 is: 503,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,854.50 : 327,270.38 = 327,270.38 : x
  2. Step 2: Convert to fraction form
    212,854.50/327,270.38 = 327,270.38/x
  3. Step 3: Cross multiply
    212,854.50x = 327,270.38 × 327,270.38
  4. Step 4: Simplify right side
    212,854.50x = 107,105,898,352.64
  5. Step 5: Solve for x
    x = 107,105,898,352.64/212,854.50
  6. Step 6: Final answer
    x = 503,188.32

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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.