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Finding the Third Proportional to 173,898 and 276,411

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Solution

The third proportional to 173,898 and 276,411 is: 439,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,898 : 276,411 = 276,411 : x
  2. Step 2: Convert to fraction form
    173,898/276,411 = 276,411/x
  3. Step 3: Cross multiply
    173,898x = 276,411 × 276,411
  4. Step 4: Simplify right side
    173,898x = 76,403,040,921
  5. Step 5: Solve for x
    x = 76,403,040,921/173,898
  6. Step 6: Final answer
    x = 439,355.49

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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.