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Finding the Third Proportional to 202,857 and 432,852

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Solution

The third proportional to 202,857 and 432,852 is: 923,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857 : 432,852 = 432,852 : x
  2. Step 2: Convert to fraction form
    202,857/432,852 = 432,852/x
  3. Step 3: Cross multiply
    202,857x = 432,852 × 432,852
  4. Step 4: Simplify right side
    202,857x = 187,360,853,904
  5. Step 5: Solve for x
    x = 187,360,853,904/202,857
  6. Step 6: Final answer
    x = 923,610.49

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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.