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Finding the Third Proportional to 166,958 and 250,509

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Solution

The third proportional to 166,958 and 250,509 is: 375,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,958 : 250,509 = 250,509 : x
  2. Step 2: Convert to fraction form
    166,958/250,509 = 250,509/x
  3. Step 3: Cross multiply
    166,958x = 250,509 × 250,509
  4. Step 4: Simplify right side
    166,958x = 62,754,759,081
  5. Step 5: Solve for x
    x = 62,754,759,081/166,958
  6. Step 6: Final answer
    x = 375,871.53

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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.