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Finding the Third Proportional to 166,066.88 and 257,848.31

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Solution

The third proportional to 166,066.88 and 257,848.31 is: 400,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,066.88 : 257,848.31 = 257,848.31 : x
  2. Step 2: Convert to fraction form
    166,066.88/257,848.31 = 257,848.31/x
  3. Step 3: Cross multiply
    166,066.88x = 257,848.31 × 257,848.31
  4. Step 4: Simplify right side
    166,066.88x = 66,485,752,259.10
  5. Step 5: Solve for x
    x = 66,485,752,259.10/166,066.88
  6. Step 6: Final answer
    x = 400,355.29

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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.