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Finding the Third Proportional to 116,660 and 180,982

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Solution

The third proportional to 116,660 and 180,982 is: 280,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,660 : 180,982 = 180,982 : x
  2. Step 2: Convert to fraction form
    116,660/180,982 = 180,982/x
  3. Step 3: Cross multiply
    116,660x = 180,982 × 180,982
  4. Step 4: Simplify right side
    116,660x = 32,754,484,324
  5. Step 5: Solve for x
    x = 32,754,484,324/116,660
  6. Step 6: Final answer
    x = 280,768.77

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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.