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Finding the Third Proportional to 185,436 and 379,683

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Solution

The third proportional to 185,436 and 379,683 is: 777,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,436 : 379,683 = 379,683 : x
  2. Step 2: Convert to fraction form
    185,436/379,683 = 379,683/x
  3. Step 3: Cross multiply
    185,436x = 379,683 × 379,683
  4. Step 4: Simplify right side
    185,436x = 144,159,180,489
  5. Step 5: Solve for x
    x = 144,159,180,489/185,436
  6. Step 6: Final answer
    x = 777,406.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.