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Finding the Third Proportional to 85,300 and 182,936

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Solution

The third proportional to 85,300 and 182,936 is: 392,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,300 : 182,936 = 182,936 : x
  2. Step 2: Convert to fraction form
    85,300/182,936 = 182,936/x
  3. Step 3: Cross multiply
    85,300x = 182,936 × 182,936
  4. Step 4: Simplify right side
    85,300x = 33,465,580,096
  5. Step 5: Solve for x
    x = 33,465,580,096/85,300
  6. Step 6: Final answer
    x = 392,328.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.