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Finding the Third Proportional to 131,088 and 197,279

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Solution

The third proportional to 131,088 and 197,279 is: 296,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,088 : 197,279 = 197,279 : x
  2. Step 2: Convert to fraction form
    131,088/197,279 = 197,279/x
  3. Step 3: Cross multiply
    131,088x = 197,279 × 197,279
  4. Step 4: Simplify right side
    131,088x = 38,919,003,841
  5. Step 5: Solve for x
    x = 38,919,003,841/131,088
  6. Step 6: Final answer
    x = 296,892.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.