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Finding the Third Proportional to 175,086 and 384,211

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Solution

The third proportional to 175,086 and 384,211 is: 843,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,086 : 384,211 = 384,211 : x
  2. Step 2: Convert to fraction form
    175,086/384,211 = 384,211/x
  3. Step 3: Cross multiply
    175,086x = 384,211 × 384,211
  4. Step 4: Simplify right side
    175,086x = 147,618,092,521
  5. Step 5: Solve for x
    x = 147,618,092,521/175,086
  6. Step 6: Final answer
    x = 843,117.63

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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.