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Finding the Third Proportional to 162,406 and 354,322

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Solution

The third proportional to 162,406 and 354,322 is: 773,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,406 : 354,322 = 354,322 : x
  2. Step 2: Convert to fraction form
    162,406/354,322 = 354,322/x
  3. Step 3: Cross multiply
    162,406x = 354,322 × 354,322
  4. Step 4: Simplify right side
    162,406x = 125,544,079,684
  5. Step 5: Solve for x
    x = 125,544,079,684/162,406
  6. Step 6: Final answer
    x = 773,026.12

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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.