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Finding the Third Proportional to 218,320.25 and 347,161.88

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Solution

The third proportional to 218,320.25 and 347,161.88 is: 552,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,320.25 : 347,161.88 = 347,161.88 : x
  2. Step 2: Convert to fraction form
    218,320.25/347,161.88 = 347,161.88/x
  3. Step 3: Cross multiply
    218,320.25x = 347,161.88 × 347,161.88
  4. Step 4: Simplify right side
    218,320.25x = 120,521,367,453.52
  5. Step 5: Solve for x
    x = 120,521,367,453.52/218,320.25
  6. Step 6: Final answer
    x = 552,039.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.