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Finding the Third Proportional to 106,602 and 234,668

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Solution

The third proportional to 106,602 and 234,668 is: 516,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,602 : 234,668 = 234,668 : x
  2. Step 2: Convert to fraction form
    106,602/234,668 = 234,668/x
  3. Step 3: Cross multiply
    106,602x = 234,668 × 234,668
  4. Step 4: Simplify right side
    106,602x = 55,069,070,224
  5. Step 5: Solve for x
    x = 55,069,070,224/106,602
  6. Step 6: Final answer
    x = 516,585.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.