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Finding the Third Proportional to 223,200.98 and 335,310.26

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Solution

The third proportional to 223,200.98 and 335,310.26 is: 503,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200.98 : 335,310.26 = 335,310.26 : x
  2. Step 2: Convert to fraction form
    223,200.98/335,310.26 = 335,310.26/x
  3. Step 3: Cross multiply
    223,200.98x = 335,310.26 × 335,310.26
  4. Step 4: Simplify right side
    223,200.98x = 112,432,968,994.29
  5. Step 5: Solve for x
    x = 112,432,968,994.29/223,200.98
  6. Step 6: Final answer
    x = 503,729.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.