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Finding the Third Proportional to 243,982.50 and 354,856.50

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Solution

The third proportional to 243,982.50 and 354,856.50 is: 516,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,982.50 : 354,856.50 = 354,856.50 : x
  2. Step 2: Convert to fraction form
    243,982.50/354,856.50 = 354,856.50/x
  3. Step 3: Cross multiply
    243,982.50x = 354,856.50 × 354,856.50
  4. Step 4: Simplify right side
    243,982.50x = 125,923,135,592.25
  5. Step 5: Solve for x
    x = 125,923,135,592.25/243,982.50
  6. Step 6: Final answer
    x = 516,115.44

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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.