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Finding the Third Proportional to 105,255 and 200,810

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Solution

The third proportional to 105,255 and 200,810 is: 383,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,255 : 200,810 = 200,810 : x
  2. Step 2: Convert to fraction form
    105,255/200,810 = 200,810/x
  3. Step 3: Cross multiply
    105,255x = 200,810 × 200,810
  4. Step 4: Simplify right side
    105,255x = 40,324,656,100
  5. Step 5: Solve for x
    x = 40,324,656,100/105,255
  6. Step 6: Final answer
    x = 383,113.92

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.