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Finding the Third Proportional to 194,650 and 418,396

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Solution

The third proportional to 194,650 and 418,396 is: 899,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,650 : 418,396 = 418,396 : x
  2. Step 2: Convert to fraction form
    194,650/418,396 = 418,396/x
  3. Step 3: Cross multiply
    194,650x = 418,396 × 418,396
  4. Step 4: Simplify right side
    194,650x = 175,055,212,816
  5. Step 5: Solve for x
    x = 175,055,212,816/194,650
  6. Step 6: Final answer
    x = 899,333.23

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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.