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Finding the Third Proportional to 231,619.50 and 336,874.50

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Solution

The third proportional to 231,619.50 and 336,874.50 is: 489,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,619.50 : 336,874.50 = 336,874.50 : x
  2. Step 2: Convert to fraction form
    231,619.50/336,874.50 = 336,874.50/x
  3. Step 3: Cross multiply
    231,619.50x = 336,874.50 × 336,874.50
  4. Step 4: Simplify right side
    231,619.50x = 113,484,428,750.25
  5. Step 5: Solve for x
    x = 113,484,428,750.25/231,619.50
  6. Step 6: Final answer
    x = 489,960.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.