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Finding the Third Proportional to 76,841.16 and 179,478.28

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Solution

The third proportional to 76,841.16 and 179,478.28 is: 419,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.16 : 179,478.28 = 179,478.28 : x
  2. Step 2: Convert to fraction form
    76,841.16/179,478.28 = 179,478.28/x
  3. Step 3: Cross multiply
    76,841.16x = 179,478.28 × 179,478.28
  4. Step 4: Simplify right side
    76,841.16x = 32,212,453,440.45
  5. Step 5: Solve for x
    x = 32,212,453,440.45/76,841.16
  6. Step 6: Final answer
    x = 419,208.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.