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Finding the Third Proportional to 173,900 and 232,932

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Solution

The third proportional to 173,900 and 232,932 is: 312,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,900 : 232,932 = 232,932 : x
  2. Step 2: Convert to fraction form
    173,900/232,932 = 232,932/x
  3. Step 3: Cross multiply
    173,900x = 232,932 × 232,932
  4. Step 4: Simplify right side
    173,900x = 54,257,316,624
  5. Step 5: Solve for x
    x = 54,257,316,624/173,900
  6. Step 6: Final answer
    x = 312,002.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.