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Finding the Third Proportional to 194,145 and 415,277

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Solution

The third proportional to 194,145 and 415,277 is: 888,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,145 : 415,277 = 415,277 : x
  2. Step 2: Convert to fraction form
    194,145/415,277 = 415,277/x
  3. Step 3: Cross multiply
    194,145x = 415,277 × 415,277
  4. Step 4: Simplify right side
    194,145x = 172,454,986,729
  5. Step 5: Solve for x
    x = 172,454,986,729/194,145
  6. Step 6: Final answer
    x = 888,279.31

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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.