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Finding the Third Proportional to 114,696 and 269,859

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Solution

The third proportional to 114,696 and 269,859 is: 634,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696 : 269,859 = 269,859 : x
  2. Step 2: Convert to fraction form
    114,696/269,859 = 269,859/x
  3. Step 3: Cross multiply
    114,696x = 269,859 × 269,859
  4. Step 4: Simplify right side
    114,696x = 72,823,879,881
  5. Step 5: Solve for x
    x = 72,823,879,881/114,696
  6. Step 6: Final answer
    x = 634,929.55

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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.