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Finding the Third Proportional to 173,846 and 363,811

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Solution

The third proportional to 173,846 and 363,811 is: 761,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,846 : 363,811 = 363,811 : x
  2. Step 2: Convert to fraction form
    173,846/363,811 = 363,811/x
  3. Step 3: Cross multiply
    173,846x = 363,811 × 363,811
  4. Step 4: Simplify right side
    173,846x = 132,358,443,721
  5. Step 5: Solve for x
    x = 132,358,443,721/173,846
  6. Step 6: Final answer
    x = 761,354.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.