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Finding the Third Proportional to 281,102 and 612,096

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Solution

The third proportional to 281,102 and 612,096 is: 1,332,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,102 : 612,096 = 612,096 : x
  2. Step 2: Convert to fraction form
    281,102/612,096 = 612,096/x
  3. Step 3: Cross multiply
    281,102x = 612,096 × 612,096
  4. Step 4: Simplify right side
    281,102x = 374,661,513,216
  5. Step 5: Solve for x
    x = 374,661,513,216/281,102
  6. Step 6: Final answer
    x = 1,332,831.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.