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Finding the Third Proportional to 169,419 and 368,349

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Solution

The third proportional to 169,419 and 368,349 is: 800,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,419 : 368,349 = 368,349 : x
  2. Step 2: Convert to fraction form
    169,419/368,349 = 368,349/x
  3. Step 3: Cross multiply
    169,419x = 368,349 × 368,349
  4. Step 4: Simplify right side
    169,419x = 135,680,985,801
  5. Step 5: Solve for x
    x = 135,680,985,801/169,419
  6. Step 6: Final answer
    x = 800,860.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.