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Finding the Third Proportional to 202,877 and 293,887

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Solution

The third proportional to 202,877 and 293,887 is: 425,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,877 : 293,887 = 293,887 : x
  2. Step 2: Convert to fraction form
    202,877/293,887 = 293,887/x
  3. Step 3: Cross multiply
    202,877x = 293,887 × 293,887
  4. Step 4: Simplify right side
    202,877x = 86,369,568,769
  5. Step 5: Solve for x
    x = 86,369,568,769/202,877
  6. Step 6: Final answer
    x = 425,723.81

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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.