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Finding the Third Proportional to 106,668 and 230,448

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Solution

The third proportional to 106,668 and 230,448 is: 497,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,668 : 230,448 = 230,448 : x
  2. Step 2: Convert to fraction form
    106,668/230,448 = 230,448/x
  3. Step 3: Cross multiply
    106,668x = 230,448 × 230,448
  4. Step 4: Simplify right side
    106,668x = 53,106,280,704
  5. Step 5: Solve for x
    x = 53,106,280,704/106,668
  6. Step 6: Final answer
    x = 497,865.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.