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Finding the Third Proportional to 76,878 and 168,336

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Solution

The third proportional to 76,878 and 168,336 is: 368,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878 : 168,336 = 168,336 : x
  2. Step 2: Convert to fraction form
    76,878/168,336 = 168,336/x
  3. Step 3: Cross multiply
    76,878x = 168,336 × 168,336
  4. Step 4: Simplify right side
    76,878x = 28,337,008,896
  5. Step 5: Solve for x
    x = 28,337,008,896/76,878
  6. Step 6: Final answer
    x = 368,597.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.