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Finding the Third Proportional to 173,623.50 and 260,898

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Solution

The third proportional to 173,623.50 and 260,898 is: 392,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,623.50 : 260,898 = 260,898 : x
  2. Step 2: Convert to fraction form
    173,623.50/260,898 = 260,898/x
  3. Step 3: Cross multiply
    173,623.50x = 260,898 × 260,898
  4. Step 4: Simplify right side
    173,623.50x = 68,067,766,404
  5. Step 5: Solve for x
    x = 68,067,766,404/173,623.50
  6. Step 6: Final answer
    x = 392,042.36

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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.