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Finding the Third Proportional to 166,829.77 and 258,538.29

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Solution

The third proportional to 166,829.77 and 258,538.29 is: 400,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,829.77 : 258,538.29 = 258,538.29 : x
  2. Step 2: Convert to fraction form
    166,829.77/258,538.29 = 258,538.29/x
  3. Step 3: Cross multiply
    166,829.77x = 258,538.29 × 258,538.29
  4. Step 4: Simplify right side
    166,829.77x = 66,842,046,911.36
  5. Step 5: Solve for x
    x = 66,842,046,911.36/166,829.77
  6. Step 6: Final answer
    x = 400,660.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.