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Finding the Third Proportional to 183,446 and 277,017

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Solution

The third proportional to 183,446 and 277,017 is: 418,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,446 : 277,017 = 277,017 : x
  2. Step 2: Convert to fraction form
    183,446/277,017 = 277,017/x
  3. Step 3: Cross multiply
    183,446x = 277,017 × 277,017
  4. Step 4: Simplify right side
    183,446x = 76,738,418,289
  5. Step 5: Solve for x
    x = 76,738,418,289/183,446
  6. Step 6: Final answer
    x = 418,316.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.