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Finding the Third Proportional to 223,077.80 and 335,112.19

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Solution

The third proportional to 223,077.80 and 335,112.19 is: 503,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,077.80 : 335,112.19 = 335,112.19 : x
  2. Step 2: Convert to fraction form
    223,077.80/335,112.19 = 335,112.19/x
  3. Step 3: Cross multiply
    223,077.80x = 335,112.19 × 335,112.19
  4. Step 4: Simplify right side
    223,077.80x = 112,300,178,211.04
  5. Step 5: Solve for x
    x = 112,300,178,211.04/223,077.80
  6. Step 6: Final answer
    x = 503,412.62

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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.