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Finding the Third Proportional to 232,982 and 349,104

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Solution

The third proportional to 232,982 and 349,104 is: 523,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,982 : 349,104 = 349,104 : x
  2. Step 2: Convert to fraction form
    232,982/349,104 = 349,104/x
  3. Step 3: Cross multiply
    232,982x = 349,104 × 349,104
  4. Step 4: Simplify right side
    232,982x = 121,873,602,816
  5. Step 5: Solve for x
    x = 121,873,602,816/232,982
  6. Step 6: Final answer
    x = 523,103.08

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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.