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Finding the Third Proportional to 232,035 and 369,216

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Solution

The third proportional to 232,035 and 369,216 is: 587,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,035 : 369,216 = 369,216 : x
  2. Step 2: Convert to fraction form
    232,035/369,216 = 369,216/x
  3. Step 3: Cross multiply
    232,035x = 369,216 × 369,216
  4. Step 4: Simplify right side
    232,035x = 136,320,454,656
  5. Step 5: Solve for x
    x = 136,320,454,656/232,035
  6. Step 6: Final answer
    x = 587,499.54

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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.