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Finding the Third Proportional to 194,127 and 415,245

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Solution

The third proportional to 194,127 and 415,245 is: 888,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,127 : 415,245 = 415,245 : x
  2. Step 2: Convert to fraction form
    194,127/415,245 = 415,245/x
  3. Step 3: Cross multiply
    194,127x = 415,245 × 415,245
  4. Step 4: Simplify right side
    194,127x = 172,428,410,025
  5. Step 5: Solve for x
    x = 172,428,410,025/194,127
  6. Step 6: Final answer
    x = 888,224.77

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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.