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Finding the Third Proportional to 108,260 and 166,498

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Solution

The third proportional to 108,260 and 166,498 is: 256,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,260 : 166,498 = 166,498 : x
  2. Step 2: Convert to fraction form
    108,260/166,498 = 166,498/x
  3. Step 3: Cross multiply
    108,260x = 166,498 × 166,498
  4. Step 4: Simplify right side
    108,260x = 27,721,584,004
  5. Step 5: Solve for x
    x = 27,721,584,004/108,260
  6. Step 6: Final answer
    x = 256,064.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.