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Finding the Third Proportional to 77,478 and 167,994

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Solution

The third proportional to 77,478 and 167,994 is: 364,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,478 : 167,994 = 167,994 : x
  2. Step 2: Convert to fraction form
    77,478/167,994 = 167,994/x
  3. Step 3: Cross multiply
    77,478x = 167,994 × 167,994
  4. Step 4: Simplify right side
    77,478x = 28,221,984,036
  5. Step 5: Solve for x
    x = 28,221,984,036/77,478
  6. Step 6: Final answer
    x = 364,258.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.