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Finding the Third Proportional to 169,338 and 373,233

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Solution

The third proportional to 169,338 and 373,233 is: 822,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,338 : 373,233 = 373,233 : x
  2. Step 2: Convert to fraction form
    169,338/373,233 = 373,233/x
  3. Step 3: Cross multiply
    169,338x = 373,233 × 373,233
  4. Step 4: Simplify right side
    169,338x = 139,302,872,289
  5. Step 5: Solve for x
    x = 139,302,872,289/169,338
  6. Step 6: Final answer
    x = 822,632.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.