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Finding the Third Proportional to 173,624 and 260,899

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Solution

The third proportional to 173,624 and 260,899 is: 392,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,624 : 260,899 = 260,899 : x
  2. Step 2: Convert to fraction form
    173,624/260,899 = 260,899/x
  3. Step 3: Cross multiply
    173,624x = 260,899 × 260,899
  4. Step 4: Simplify right side
    173,624x = 68,068,288,201
  5. Step 5: Solve for x
    x = 68,068,288,201/173,624
  6. Step 6: Final answer
    x = 392,044.23

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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.