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Finding the Third Proportional to 166,257.56 and 257,963.06

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Solution

The third proportional to 166,257.56 and 257,963.06 is: 400,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,257.56 : 257,963.06 = 257,963.06 : x
  2. Step 2: Convert to fraction form
    166,257.56/257,963.06 = 257,963.06/x
  3. Step 3: Cross multiply
    166,257.56x = 257,963.06 × 257,963.06
  4. Step 4: Simplify right side
    166,257.56x = 66,544,941,614.38
  5. Step 5: Solve for x
    x = 66,544,941,614.38/166,257.56
  6. Step 6: Final answer
    x = 400,252.12

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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.