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Finding the Third Proportional to 79,467 and 168,411

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Solution

The third proportional to 79,467 and 168,411 is: 356,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,467 : 168,411 = 168,411 : x
  2. Step 2: Convert to fraction form
    79,467/168,411 = 168,411/x
  3. Step 3: Cross multiply
    79,467x = 168,411 × 168,411
  4. Step 4: Simplify right side
    79,467x = 28,362,264,921
  5. Step 5: Solve for x
    x = 28,362,264,921/79,467
  6. Step 6: Final answer
    x = 356,906.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.