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Finding the Third Proportional to 162,460 and 362,274

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Solution

The third proportional to 162,460 and 362,274 is: 807,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,460 : 362,274 = 362,274 : x
  2. Step 2: Convert to fraction form
    162,460/362,274 = 362,274/x
  3. Step 3: Cross multiply
    162,460x = 362,274 × 362,274
  4. Step 4: Simplify right side
    162,460x = 131,242,451,076
  5. Step 5: Solve for x
    x = 131,242,451,076/162,460
  6. Step 6: Final answer
    x = 807,844.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.