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Finding the Third Proportional to 185,364 and 383,859

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Solution

The third proportional to 185,364 and 383,859 is: 794,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,364 : 383,859 = 383,859 : x
  2. Step 2: Convert to fraction form
    185,364/383,859 = 383,859/x
  3. Step 3: Cross multiply
    185,364x = 383,859 × 383,859
  4. Step 4: Simplify right side
    185,364x = 147,347,731,881
  5. Step 5: Solve for x
    x = 147,347,731,881/185,364
  6. Step 6: Final answer
    x = 794,910.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.