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Finding the Third Proportional to 166,605.75 and 237,443.63

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Solution

The third proportional to 166,605.75 and 237,443.63 is: 338,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,605.75 : 237,443.63 = 237,443.63 : x
  2. Step 2: Convert to fraction form
    166,605.75/237,443.63 = 237,443.63/x
  3. Step 3: Cross multiply
    166,605.75x = 237,443.63 × 237,443.63
  4. Step 4: Simplify right side
    166,605.75x = 56,379,475,053.14
  5. Step 5: Solve for x
    x = 56,379,475,053.14/166,605.75
  6. Step 6: Final answer
    x = 338,400.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.