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Finding the Third Proportional to 175,016 and 264,126

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Solution

The third proportional to 175,016 and 264,126 is: 398,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,016 : 264,126 = 264,126 : x
  2. Step 2: Convert to fraction form
    175,016/264,126 = 264,126/x
  3. Step 3: Cross multiply
    175,016x = 264,126 × 264,126
  4. Step 4: Simplify right side
    175,016x = 69,762,543,876
  5. Step 5: Solve for x
    x = 69,762,543,876/175,016
  6. Step 6: Final answer
    x = 398,606.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.