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Finding the Third Proportional to 143,542.13 and 335,274.19

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Solution

The third proportional to 143,542.13 and 335,274.19 is: 783,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,542.13 : 335,274.19 = 335,274.19 : x
  2. Step 2: Convert to fraction form
    143,542.13/335,274.19 = 335,274.19/x
  3. Step 3: Cross multiply
    143,542.13x = 335,274.19 × 335,274.19
  4. Step 4: Simplify right side
    143,542.13x = 112,408,780,803.79
  5. Step 5: Solve for x
    x = 112,408,780,803.79/143,542.13
  6. Step 6: Final answer
    x = 783,106.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.