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Finding the Third Proportional to 116,884 and 180,798

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Solution

The third proportional to 116,884 and 180,798 is: 279,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,884 : 180,798 = 180,798 : x
  2. Step 2: Convert to fraction form
    116,884/180,798 = 180,798/x
  3. Step 3: Cross multiply
    116,884x = 180,798 × 180,798
  4. Step 4: Simplify right side
    116,884x = 32,687,916,804
  5. Step 5: Solve for x
    x = 32,687,916,804/116,884
  6. Step 6: Final answer
    x = 279,661.18

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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.