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Finding the Third Proportional to 210,853.50 and 337,234.50

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Solution

The third proportional to 210,853.50 and 337,234.50 is: 539,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,853.50 : 337,234.50 = 337,234.50 : x
  2. Step 2: Convert to fraction form
    210,853.50/337,234.50 = 337,234.50/x
  3. Step 3: Cross multiply
    210,853.50x = 337,234.50 × 337,234.50
  4. Step 4: Simplify right side
    210,853.50x = 113,727,107,990.25
  5. Step 5: Solve for x
    x = 113,727,107,990.25/210,853.50
  6. Step 6: Final answer
    x = 539,365.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.