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Finding the Third Proportional to 105,366 and 230,403

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Solution

The third proportional to 105,366 and 230,403 is: 503,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,366 : 230,403 = 230,403 : x
  2. Step 2: Convert to fraction form
    105,366/230,403 = 230,403/x
  3. Step 3: Cross multiply
    105,366x = 230,403 × 230,403
  4. Step 4: Simplify right side
    105,366x = 53,085,542,409
  5. Step 5: Solve for x
    x = 53,085,542,409/105,366
  6. Step 6: Final answer
    x = 503,820.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.