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Finding the Third Proportional to 232,580 and 368,916

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Solution

The third proportional to 232,580 and 368,916 is: 585,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,580 : 368,916 = 368,916 : x
  2. Step 2: Convert to fraction form
    232,580/368,916 = 368,916/x
  3. Step 3: Cross multiply
    232,580x = 368,916 × 368,916
  4. Step 4: Simplify right side
    232,580x = 136,099,015,056
  5. Step 5: Solve for x
    x = 136,099,015,056/232,580
  6. Step 6: Final answer
    x = 585,170.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.