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Finding the Third Proportional to 164,188 and 354,571

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Solution

The third proportional to 164,188 and 354,571 is: 765,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,188 : 354,571 = 354,571 : x
  2. Step 2: Convert to fraction form
    164,188/354,571 = 354,571/x
  3. Step 3: Cross multiply
    164,188x = 354,571 × 354,571
  4. Step 4: Simplify right side
    164,188x = 125,720,594,041
  5. Step 5: Solve for x
    x = 125,720,594,041/164,188
  6. Step 6: Final answer
    x = 765,711.22

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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.