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Finding the Third Proportional to 233,043 and 349,443

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Solution

The third proportional to 233,043 and 349,443 is: 523,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,043 : 349,443 = 349,443 : x
  2. Step 2: Convert to fraction form
    233,043/349,443 = 349,443/x
  3. Step 3: Cross multiply
    233,043x = 349,443 × 349,443
  4. Step 4: Simplify right side
    233,043x = 122,110,410,249
  5. Step 5: Solve for x
    x = 122,110,410,249/233,043
  6. Step 6: Final answer
    x = 523,982.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.