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Finding the Third Proportional to 197,924 and 415,291

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Solution

The third proportional to 197,924 and 415,291 is: 871,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,924 : 415,291 = 415,291 : x
  2. Step 2: Convert to fraction form
    197,924/415,291 = 415,291/x
  3. Step 3: Cross multiply
    197,924x = 415,291 × 415,291
  4. Step 4: Simplify right side
    197,924x = 172,466,614,681
  5. Step 5: Solve for x
    x = 172,466,614,681/197,924
  6. Step 6: Final answer
    x = 871,377.98

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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.