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Finding the Third Proportional to 114,697 and 269,891

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Solution

The third proportional to 114,697 and 269,891 is: 635,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,697 : 269,891 = 269,891 : x
  2. Step 2: Convert to fraction form
    114,697/269,891 = 269,891/x
  3. Step 3: Cross multiply
    114,697x = 269,891 × 269,891
  4. Step 4: Simplify right side
    114,697x = 72,841,151,881
  5. Step 5: Solve for x
    x = 72,841,151,881/114,697
  6. Step 6: Final answer
    x = 635,074.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.