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Finding the Third Proportional to 110,385 and 233,919

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Solution

The third proportional to 110,385 and 233,919 is: 495,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,385 : 233,919 = 233,919 : x
  2. Step 2: Convert to fraction form
    110,385/233,919 = 233,919/x
  3. Step 3: Cross multiply
    110,385x = 233,919 × 233,919
  4. Step 4: Simplify right side
    110,385x = 54,718,098,561
  5. Step 5: Solve for x
    x = 54,718,098,561/110,385
  6. Step 6: Final answer
    x = 495,702.30

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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.