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Finding the Third Proportional to 202,786 and 293,722

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Solution

The third proportional to 202,786 and 293,722 is: 425,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,786 : 293,722 = 293,722 : x
  2. Step 2: Convert to fraction form
    202,786/293,722 = 293,722/x
  3. Step 3: Cross multiply
    202,786x = 293,722 × 293,722
  4. Step 4: Simplify right side
    202,786x = 86,272,613,284
  5. Step 5: Solve for x
    x = 86,272,613,284/202,786
  6. Step 6: Final answer
    x = 425,436.73

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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.