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Finding the Third Proportional to 247,927.50 and 327,415.50

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Solution

The third proportional to 247,927.50 and 327,415.50 is: 432,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,927.50 : 327,415.50 = 327,415.50 : x
  2. Step 2: Convert to fraction form
    247,927.50/327,415.50 = 327,415.50/x
  3. Step 3: Cross multiply
    247,927.50x = 327,415.50 × 327,415.50
  4. Step 4: Simplify right side
    247,927.50x = 107,200,909,640.25
  5. Step 5: Solve for x
    x = 107,200,909,640.25/247,927.50
  6. Step 6: Final answer
    x = 432,388.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.