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Finding the Third Proportional to 192,076 and 281,885

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Solution

The third proportional to 192,076 and 281,885 is: 413,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,076 : 281,885 = 281,885 : x
  2. Step 2: Convert to fraction form
    192,076/281,885 = 281,885/x
  3. Step 3: Cross multiply
    192,076x = 281,885 × 281,885
  4. Step 4: Simplify right side
    192,076x = 79,459,153,225
  5. Step 5: Solve for x
    x = 79,459,153,225/192,076
  6. Step 6: Final answer
    x = 413,686.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.