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Finding the Third Proportional to 116,884 and 175,277

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Solution

The third proportional to 116,884 and 175,277 is: 262,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,884 : 175,277 = 175,277 : x
  2. Step 2: Convert to fraction form
    116,884/175,277 = 175,277/x
  3. Step 3: Cross multiply
    116,884x = 175,277 × 175,277
  4. Step 4: Simplify right side
    116,884x = 30,722,026,729
  5. Step 5: Solve for x
    x = 30,722,026,729/116,884
  6. Step 6: Final answer
    x = 262,842.02

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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.