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Finding the Third Proportional to 195,061 and 419,221

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Solution

The third proportional to 195,061 and 419,221 is: 900,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,061 : 419,221 = 419,221 : x
  2. Step 2: Convert to fraction form
    195,061/419,221 = 419,221/x
  3. Step 3: Cross multiply
    195,061x = 419,221 × 419,221
  4. Step 4: Simplify right side
    195,061x = 175,746,246,841
  5. Step 5: Solve for x
    x = 175,746,246,841/195,061
  6. Step 6: Final answer
    x = 900,980.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.