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Finding the Third Proportional to 169,421 and 368,353

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Solution

The third proportional to 169,421 and 368,353 is: 800,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,421 : 368,353 = 368,353 : x
  2. Step 2: Convert to fraction form
    169,421/368,353 = 368,353/x
  3. Step 3: Cross multiply
    169,421x = 368,353 × 368,353
  4. Step 4: Simplify right side
    169,421x = 135,683,932,609
  5. Step 5: Solve for x
    x = 135,683,932,609/169,421
  6. Step 6: Final answer
    x = 800,868.44

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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.