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Finding the Third Proportional to 185,685 and 277,834

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Solution

The third proportional to 185,685 and 277,834 is: 415,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,685 : 277,834 = 277,834 : x
  2. Step 2: Convert to fraction form
    185,685/277,834 = 277,834/x
  3. Step 3: Cross multiply
    185,685x = 277,834 × 277,834
  4. Step 4: Simplify right side
    185,685x = 77,191,731,556
  5. Step 5: Solve for x
    x = 77,191,731,556/185,685
  6. Step 6: Final answer
    x = 415,713.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.