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Finding the Third Proportional to 194,130 and 415,251

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Solution

The third proportional to 194,130 and 415,251 is: 888,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,130 : 415,251 = 415,251 : x
  2. Step 2: Convert to fraction form
    194,130/415,251 = 415,251/x
  3. Step 3: Cross multiply
    194,130x = 415,251 × 415,251
  4. Step 4: Simplify right side
    194,130x = 172,433,393,001
  5. Step 5: Solve for x
    x = 172,433,393,001/194,130
  6. Step 6: Final answer
    x = 888,236.71

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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.