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Finding the Third Proportional to 195,991 and 429,349

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Solution

The third proportional to 195,991 and 429,349 is: 940,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,991 : 429,349 = 429,349 : x
  2. Step 2: Convert to fraction form
    195,991/429,349 = 429,349/x
  3. Step 3: Cross multiply
    195,991x = 429,349 × 429,349
  4. Step 4: Simplify right side
    195,991x = 184,340,563,801
  5. Step 5: Solve for x
    x = 184,340,563,801/195,991
  6. Step 6: Final answer
    x = 940,556.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.