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Finding the Third Proportional to 109,693 and 233,226

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Solution

The third proportional to 109,693 and 233,226 is: 495,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,693 : 233,226 = 233,226 : x
  2. Step 2: Convert to fraction form
    109,693/233,226 = 233,226/x
  3. Step 3: Cross multiply
    109,693x = 233,226 × 233,226
  4. Step 4: Simplify right side
    109,693x = 54,394,367,076
  5. Step 5: Solve for x
    x = 54,394,367,076/109,693
  6. Step 6: Final answer
    x = 495,878.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.