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Finding the Third Proportional to 105,366 and 229,668

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Solution

The third proportional to 105,366 and 229,668 is: 500,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,366 : 229,668 = 229,668 : x
  2. Step 2: Convert to fraction form
    105,366/229,668 = 229,668/x
  3. Step 3: Cross multiply
    105,366x = 229,668 × 229,668
  4. Step 4: Simplify right side
    105,366x = 52,747,390,224
  5. Step 5: Solve for x
    x = 52,747,390,224/105,366
  6. Step 6: Final answer
    x = 500,611.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.