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Finding the Third Proportional to 116,620 and 170,340

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Solution

The third proportional to 116,620 and 170,340 is: 248,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,620 : 170,340 = 170,340 : x
  2. Step 2: Convert to fraction form
    116,620/170,340 = 170,340/x
  3. Step 3: Cross multiply
    116,620x = 170,340 × 170,340
  4. Step 4: Simplify right side
    116,620x = 29,015,715,600
  5. Step 5: Solve for x
    x = 29,015,715,600/116,620
  6. Step 6: Final answer
    x = 248,805.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.