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Finding the Third Proportional to 197,926 and 415,292

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Solution

The third proportional to 197,926 and 415,292 is: 871,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,926 : 415,292 = 415,292 : x
  2. Step 2: Convert to fraction form
    197,926/415,292 = 415,292/x
  3. Step 3: Cross multiply
    197,926x = 415,292 × 415,292
  4. Step 4: Simplify right side
    197,926x = 172,467,445,264
  5. Step 5: Solve for x
    x = 172,467,445,264/197,926
  6. Step 6: Final answer
    x = 871,373.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.