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Finding the Third Proportional to 164,200 and 354,040

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Solution

The third proportional to 164,200 and 354,040 is: 763,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,200 : 354,040 = 354,040 : x
  2. Step 2: Convert to fraction form
    164,200/354,040 = 354,040/x
  3. Step 3: Cross multiply
    164,200x = 354,040 × 354,040
  4. Step 4: Simplify right side
    164,200x = 125,344,321,600
  5. Step 5: Solve for x
    x = 125,344,321,600/164,200
  6. Step 6: Final answer
    x = 763,363.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.