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Finding the Third Proportional to 76,203.28 and 162,914.41

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Solution

The third proportional to 76,203.28 and 162,914.41 is: 348,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.28 : 162,914.41 = 162,914.41 : x
  2. Step 2: Convert to fraction form
    76,203.28/162,914.41 = 162,914.41/x
  3. Step 3: Cross multiply
    76,203.28x = 162,914.41 × 162,914.41
  4. Step 4: Simplify right side
    76,203.28x = 26,541,106,309.33
  5. Step 5: Solve for x
    x = 26,541,106,309.33/76,203.28
  6. Step 6: Final answer
    x = 348,293.48

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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.