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Finding the Third Proportional to 114,718 and 269,901

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Solution

The third proportional to 114,718 and 269,901 is: 635,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,718 : 269,901 = 269,901 : x
  2. Step 2: Convert to fraction form
    114,718/269,901 = 269,901/x
  3. Step 3: Cross multiply
    114,718x = 269,901 × 269,901
  4. Step 4: Simplify right side
    114,718x = 72,846,549,801
  5. Step 5: Solve for x
    x = 72,846,549,801/114,718
  6. Step 6: Final answer
    x = 635,005.40

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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.