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Finding the Third Proportional to 371,194 and 564,171

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Solution

The third proportional to 371,194 and 564,171 is: 857,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,194 : 564,171 = 564,171 : x
  2. Step 2: Convert to fraction form
    371,194/564,171 = 564,171/x
  3. Step 3: Cross multiply
    371,194x = 564,171 × 564,171
  4. Step 4: Simplify right side
    371,194x = 318,288,917,241
  5. Step 5: Solve for x
    x = 318,288,917,241/371,194
  6. Step 6: Final answer
    x = 857,473.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.