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Finding the Third Proportional to 79,412 and 170,336

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Solution

The third proportional to 79,412 and 170,336 is: 365,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,412 : 170,336 = 170,336 : x
  2. Step 2: Convert to fraction form
    79,412/170,336 = 170,336/x
  3. Step 3: Cross multiply
    79,412x = 170,336 × 170,336
  4. Step 4: Simplify right side
    79,412x = 29,014,352,896
  5. Step 5: Solve for x
    x = 29,014,352,896/79,412
  6. Step 6: Final answer
    x = 365,364.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.