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Finding the Third Proportional to 106,668 and 232,668

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Solution

The third proportional to 106,668 and 232,668 is: 507,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,668 : 232,668 = 232,668 : x
  2. Step 2: Convert to fraction form
    106,668/232,668 = 232,668/x
  3. Step 3: Cross multiply
    106,668x = 232,668 × 232,668
  4. Step 4: Simplify right side
    106,668x = 54,134,398,224
  5. Step 5: Solve for x
    x = 54,134,398,224/106,668
  6. Step 6: Final answer
    x = 507,503.64

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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.