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Finding the Third Proportional to 166,254.75 and 356,139

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Solution

The third proportional to 166,254.75 and 356,139 is: 762,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,254.75 : 356,139 = 356,139 : x
  2. Step 2: Convert to fraction form
    166,254.75/356,139 = 356,139/x
  3. Step 3: Cross multiply
    166,254.75x = 356,139 × 356,139
  4. Step 4: Simplify right side
    166,254.75x = 126,834,987,321
  5. Step 5: Solve for x
    x = 126,834,987,321/166,254.75
  6. Step 6: Final answer
    x = 762,895.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.