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Finding the Third Proportional to 167,034 and 258,523

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Solution

The third proportional to 167,034 and 258,523 is: 400,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,034 : 258,523 = 258,523 : x
  2. Step 2: Convert to fraction form
    167,034/258,523 = 258,523/x
  3. Step 3: Cross multiply
    167,034x = 258,523 × 258,523
  4. Step 4: Simplify right side
    167,034x = 66,834,141,529
  5. Step 5: Solve for x
    x = 66,834,141,529/167,034
  6. Step 6: Final answer
    x = 400,122.98

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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.