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Finding the Third Proportional to 173,110 and 273,881

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Solution

The third proportional to 173,110 and 273,881 is: 433,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,110 : 273,881 = 273,881 : x
  2. Step 2: Convert to fraction form
    173,110/273,881 = 273,881/x
  3. Step 3: Cross multiply
    173,110x = 273,881 × 273,881
  4. Step 4: Simplify right side
    173,110x = 75,010,802,161
  5. Step 5: Solve for x
    x = 75,010,802,161/173,110
  6. Step 6: Final answer
    x = 433,312.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.