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Finding the Third Proportional to 115,870 and 179,318

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Solution

The third proportional to 115,870 and 179,318 is: 277,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,870 : 179,318 = 179,318 : x
  2. Step 2: Convert to fraction form
    115,870/179,318 = 179,318/x
  3. Step 3: Cross multiply
    115,870x = 179,318 × 179,318
  4. Step 4: Simplify right side
    115,870x = 32,154,945,124
  5. Step 5: Solve for x
    x = 32,154,945,124/115,870
  6. Step 6: Final answer
    x = 277,508.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.