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Finding the Third Proportional to 202,685.06 and 469,161.56

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Solution

The third proportional to 202,685.06 and 469,161.56 is: 1,085,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,685.06 : 469,161.56 = 469,161.56 : x
  2. Step 2: Convert to fraction form
    202,685.06/469,161.56 = 469,161.56/x
  3. Step 3: Cross multiply
    202,685.06x = 469,161.56 × 469,161.56
  4. Step 4: Simplify right side
    202,685.06x = 220,112,571,727.44
  5. Step 5: Solve for x
    x = 220,112,571,727.44/202,685.06
  6. Step 6: Final answer
    x = 1,085,983.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.