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Finding the Third Proportional to 232,998 and 349,137

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Solution

The third proportional to 232,998 and 349,137 is: 523,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,998 : 349,137 = 349,137 : x
  2. Step 2: Convert to fraction form
    232,998/349,137 = 349,137/x
  3. Step 3: Cross multiply
    232,998x = 349,137 × 349,137
  4. Step 4: Simplify right side
    232,998x = 121,896,644,769
  5. Step 5: Solve for x
    x = 121,896,644,769/232,998
  6. Step 6: Final answer
    x = 523,166.06

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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.