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Finding the Third Proportional to 202,812.19 and 293,761.69

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Solution

The third proportional to 202,812.19 and 293,761.69 is: 425,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,812.19 : 293,761.69 = 293,761.69 : x
  2. Step 2: Convert to fraction form
    202,812.19/293,761.69 = 293,761.69/x
  3. Step 3: Cross multiply
    202,812.19x = 293,761.69 × 293,761.69
  4. Step 4: Simplify right side
    202,812.19x = 86,295,929,042.85
  5. Step 5: Solve for x
    x = 86,295,929,042.85/202,812.19
  6. Step 6: Final answer
    x = 425,496.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.