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Finding the Third Proportional to 194,394 and 418,314

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Solution

The third proportional to 194,394 and 418,314 is: 900,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,394 : 418,314 = 418,314 : x
  2. Step 2: Convert to fraction form
    194,394/418,314 = 418,314/x
  3. Step 3: Cross multiply
    194,394x = 418,314 × 418,314
  4. Step 4: Simplify right side
    194,394x = 174,986,602,596
  5. Step 5: Solve for x
    x = 174,986,602,596/194,394
  6. Step 6: Final answer
    x = 900,164.63

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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.