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Finding the Third Proportional to 194,223 and 415,431

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Solution

The third proportional to 194,223 and 415,431 is: 888,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,223 : 415,431 = 415,431 : x
  2. Step 2: Convert to fraction form
    194,223/415,431 = 415,431/x
  3. Step 3: Cross multiply
    194,223x = 415,431 × 415,431
  4. Step 4: Simplify right side
    194,223x = 172,582,915,761
  5. Step 5: Solve for x
    x = 172,582,915,761/194,223
  6. Step 6: Final answer
    x = 888,581.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.