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Finding the Third Proportional to 116,231 and 179,603

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Solution

The third proportional to 116,231 and 179,603 is: 277,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,231 : 179,603 = 179,603 : x
  2. Step 2: Convert to fraction form
    116,231/179,603 = 179,603/x
  3. Step 3: Cross multiply
    116,231x = 179,603 × 179,603
  4. Step 4: Simplify right side
    116,231x = 32,257,237,609
  5. Step 5: Solve for x
    x = 32,257,237,609/116,231
  6. Step 6: Final answer
    x = 277,526.97

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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.