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Finding the Third Proportional to 194,150 and 415,294

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Solution

The third proportional to 194,150 and 415,294 is: 888,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,150 : 415,294 = 415,294 : x
  2. Step 2: Convert to fraction form
    194,150/415,294 = 415,294/x
  3. Step 3: Cross multiply
    194,150x = 415,294 × 415,294
  4. Step 4: Simplify right side
    194,150x = 172,469,106,436
  5. Step 5: Solve for x
    x = 172,469,106,436/194,150
  6. Step 6: Final answer
    x = 888,329.16

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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.