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Finding the Third Proportional to 194,334 and 418,476

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Solution

The third proportional to 194,334 and 418,476 is: 901,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,334 : 418,476 = 418,476 : x
  2. Step 2: Convert to fraction form
    194,334/418,476 = 418,476/x
  3. Step 3: Cross multiply
    194,334x = 418,476 × 418,476
  4. Step 4: Simplify right side
    194,334x = 175,122,162,576
  5. Step 5: Solve for x
    x = 175,122,162,576/194,334
  6. Step 6: Final answer
    x = 901,140.11

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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.