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Finding the Third Proportional to 232,974 and 349,101

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Solution

The third proportional to 232,974 and 349,101 is: 523,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,974 : 349,101 = 349,101 : x
  2. Step 2: Convert to fraction form
    232,974/349,101 = 349,101/x
  3. Step 3: Cross multiply
    232,974x = 349,101 × 349,101
  4. Step 4: Simplify right side
    232,974x = 121,871,508,201
  5. Step 5: Solve for x
    x = 121,871,508,201/232,974
  6. Step 6: Final answer
    x = 523,112.06

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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.