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Finding the Third Proportional to 173,846 and 361,014

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Solution

The third proportional to 173,846 and 361,014 is: 749,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,846 : 361,014 = 361,014 : x
  2. Step 2: Convert to fraction form
    173,846/361,014 = 361,014/x
  3. Step 3: Cross multiply
    173,846x = 361,014 × 361,014
  4. Step 4: Simplify right side
    173,846x = 130,331,108,196
  5. Step 5: Solve for x
    x = 130,331,108,196/173,846
  6. Step 6: Final answer
    x = 749,692.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.