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Finding the Third Proportional to 221,444 and 343,824

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Solution

The third proportional to 221,444 and 343,824 is: 533,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,444 : 343,824 = 343,824 : x
  2. Step 2: Convert to fraction form
    221,444/343,824 = 343,824/x
  3. Step 3: Cross multiply
    221,444x = 343,824 × 343,824
  4. Step 4: Simplify right side
    221,444x = 118,214,942,976
  5. Step 5: Solve for x
    x = 118,214,942,976/221,444
  6. Step 6: Final answer
    x = 533,836.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.