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Finding the Third Proportional to 162,327 and 354,177

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Solution

The third proportional to 162,327 and 354,177 is: 772,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,327 : 354,177 = 354,177 : x
  2. Step 2: Convert to fraction form
    162,327/354,177 = 354,177/x
  3. Step 3: Cross multiply
    162,327x = 354,177 × 354,177
  4. Step 4: Simplify right side
    162,327x = 125,441,347,329
  5. Step 5: Solve for x
    x = 125,441,347,329/162,327
  6. Step 6: Final answer
    x = 772,769.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.