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Finding the Third Proportional to 110,377 and 233,903

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Solution

The third proportional to 110,377 and 233,903 is: 495,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,377 : 233,903 = 233,903 : x
  2. Step 2: Convert to fraction form
    110,377/233,903 = 233,903/x
  3. Step 3: Cross multiply
    110,377x = 233,903 × 233,903
  4. Step 4: Simplify right side
    110,377x = 54,710,613,409
  5. Step 5: Solve for x
    x = 54,710,613,409/110,377
  6. Step 6: Final answer
    x = 495,670.42

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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.