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Finding the Third Proportional to 79,410 and 170,337

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Solution

The third proportional to 79,410 and 170,337 is: 365,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,410 : 170,337 = 170,337 : x
  2. Step 2: Convert to fraction form
    79,410/170,337 = 170,337/x
  3. Step 3: Cross multiply
    79,410x = 170,337 × 170,337
  4. Step 4: Simplify right side
    79,410x = 29,014,693,569
  5. Step 5: Solve for x
    x = 29,014,693,569/79,410
  6. Step 6: Final answer
    x = 365,378.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.