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Finding the Third Proportional to 173,905 and 276,636

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Solution

The third proportional to 173,905 and 276,636 is: 440,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,905 : 276,636 = 276,636 : x
  2. Step 2: Convert to fraction form
    173,905/276,636 = 276,636/x
  3. Step 3: Cross multiply
    173,905x = 276,636 × 276,636
  4. Step 4: Simplify right side
    173,905x = 76,527,476,496
  5. Step 5: Solve for x
    x = 76,527,476,496/173,905
  6. Step 6: Final answer
    x = 440,053.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.