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Finding the Third Proportional to 202,128 and 415,912

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Solution

The third proportional to 202,128 and 415,912 is: 855,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,128 : 415,912 = 415,912 : x
  2. Step 2: Convert to fraction form
    202,128/415,912 = 415,912/x
  3. Step 3: Cross multiply
    202,128x = 415,912 × 415,912
  4. Step 4: Simplify right side
    202,128x = 172,982,791,744
  5. Step 5: Solve for x
    x = 172,982,791,744/202,128
  6. Step 6: Final answer
    x = 855,808.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.