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Finding the Third Proportional to 185,277 and 383,658

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Solution

The third proportional to 185,277 and 383,658 is: 794,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,277 : 383,658 = 383,658 : x
  2. Step 2: Convert to fraction form
    185,277/383,658 = 383,658/x
  3. Step 3: Cross multiply
    185,277x = 383,658 × 383,658
  4. Step 4: Simplify right side
    185,277x = 147,193,460,964
  5. Step 5: Solve for x
    x = 147,193,460,964/185,277
  6. Step 6: Final answer
    x = 794,450.80

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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.