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Finding the Third Proportional to 110,373 and 233,894

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Solution

The third proportional to 110,373 and 233,894 is: 495,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,373 : 233,894 = 233,894 : x
  2. Step 2: Convert to fraction form
    110,373/233,894 = 233,894/x
  3. Step 3: Cross multiply
    110,373x = 233,894 × 233,894
  4. Step 4: Simplify right side
    110,373x = 54,706,403,236
  5. Step 5: Solve for x
    x = 54,706,403,236/110,373
  6. Step 6: Final answer
    x = 495,650.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.