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Finding the Third Proportional to 202,857 and 432,853

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Solution

The third proportional to 202,857 and 432,853 is: 923,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857 : 432,853 = 432,853 : x
  2. Step 2: Convert to fraction form
    202,857/432,853 = 432,853/x
  3. Step 3: Cross multiply
    202,857x = 432,853 × 432,853
  4. Step 4: Simplify right side
    202,857x = 187,361,719,609
  5. Step 5: Solve for x
    x = 187,361,719,609/202,857
  6. Step 6: Final answer
    x = 923,614.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.