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Finding the Third Proportional to 232,052 and 369,240

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Solution

The third proportional to 232,052 and 369,240 is: 587,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,052 : 369,240 = 369,240 : x
  2. Step 2: Convert to fraction form
    232,052/369,240 = 369,240/x
  3. Step 3: Cross multiply
    232,052x = 369,240 × 369,240
  4. Step 4: Simplify right side
    232,052x = 136,338,177,600
  5. Step 5: Solve for x
    x = 136,338,177,600/232,052
  6. Step 6: Final answer
    x = 587,532.87

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