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Finding the Third Proportional to 223,970 and 349,593

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Solution

The third proportional to 223,970 and 349,593 is: 545,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,970 : 349,593 = 349,593 : x
  2. Step 2: Convert to fraction form
    223,970/349,593 = 349,593/x
  3. Step 3: Cross multiply
    223,970x = 349,593 × 349,593
  4. Step 4: Simplify right side
    223,970x = 122,215,265,649
  5. Step 5: Solve for x
    x = 122,215,265,649/223,970
  6. Step 6: Final answer
    x = 545,676.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.