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Finding the Third Proportional to 232,974 and 368,232

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Solution

The third proportional to 232,974 and 368,232 is: 582,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,974 : 368,232 = 368,232 : x
  2. Step 2: Convert to fraction form
    232,974/368,232 = 368,232/x
  3. Step 3: Cross multiply
    232,974x = 368,232 × 368,232
  4. Step 4: Simplify right side
    232,974x = 135,594,805,824
  5. Step 5: Solve for x
    x = 135,594,805,824/232,974
  6. Step 6: Final answer
    x = 582,016.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.