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Finding the Third Proportional to 105,792 and 220,332

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Solution

The third proportional to 105,792 and 220,332 is: 458,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,792 : 220,332 = 220,332 : x
  2. Step 2: Convert to fraction form
    105,792/220,332 = 220,332/x
  3. Step 3: Cross multiply
    105,792x = 220,332 × 220,332
  4. Step 4: Simplify right side
    105,792x = 48,546,190,224
  5. Step 5: Solve for x
    x = 48,546,190,224/105,792
  6. Step 6: Final answer
    x = 458,883.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.