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Finding the Third Proportional to 79,418 and 170,346

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Solution

The third proportional to 79,418 and 170,346 is: 365,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,418 : 170,346 = 170,346 : x
  2. Step 2: Convert to fraction form
    79,418/170,346 = 170,346/x
  3. Step 3: Cross multiply
    79,418x = 170,346 × 170,346
  4. Step 4: Simplify right side
    79,418x = 29,017,759,716
  5. Step 5: Solve for x
    x = 29,017,759,716/79,418
  6. Step 6: Final answer
    x = 365,380.14

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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.