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Finding the Third Proportional to 166,944 and 250,488

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Solution

The third proportional to 166,944 and 250,488 is: 375,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,944 : 250,488 = 250,488 : x
  2. Step 2: Convert to fraction form
    166,944/250,488 = 250,488/x
  3. Step 3: Cross multiply
    166,944x = 250,488 × 250,488
  4. Step 4: Simplify right side
    166,944x = 62,744,238,144
  5. Step 5: Solve for x
    x = 62,744,238,144/166,944
  6. Step 6: Final answer
    x = 375,840.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.