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Finding the Third Proportional to 108,488 and 234,256

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Solution

The third proportional to 108,488 and 234,256 is: 505,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,488 : 234,256 = 234,256 : x
  2. Step 2: Convert to fraction form
    108,488/234,256 = 234,256/x
  3. Step 3: Cross multiply
    108,488x = 234,256 × 234,256
  4. Step 4: Simplify right side
    108,488x = 54,875,873,536
  5. Step 5: Solve for x
    x = 54,875,873,536/108,488
  6. Step 6: Final answer
    x = 505,824.36

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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.