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Finding the Third Proportional to 194,167 and 417,153

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Solution

The third proportional to 194,167 and 417,153 is: 896,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,167 : 417,153 = 417,153 : x
  2. Step 2: Convert to fraction form
    194,167/417,153 = 417,153/x
  3. Step 3: Cross multiply
    194,167x = 417,153 × 417,153
  4. Step 4: Simplify right side
    194,167x = 174,016,625,409
  5. Step 5: Solve for x
    x = 174,016,625,409/194,167
  6. Step 6: Final answer
    x = 896,221.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.