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Finding the Third Proportional to 173,869 and 297,233

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Solution

The third proportional to 173,869 and 297,233 is: 508,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,869 : 297,233 = 297,233 : x
  2. Step 2: Convert to fraction form
    173,869/297,233 = 297,233/x
  3. Step 3: Cross multiply
    173,869x = 297,233 × 297,233
  4. Step 4: Simplify right side
    173,869x = 88,347,456,289
  5. Step 5: Solve for x
    x = 88,347,456,289/173,869
  6. Step 6: Final answer
    x = 508,126.56

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.