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Finding the Third Proportional to 250,108 and 547,653

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Solution

The third proportional to 250,108 and 547,653 is: 1,199,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,108 : 547,653 = 547,653 : x
  2. Step 2: Convert to fraction form
    250,108/547,653 = 547,653/x
  3. Step 3: Cross multiply
    250,108x = 547,653 × 547,653
  4. Step 4: Simplify right side
    250,108x = 299,923,808,409
  5. Step 5: Solve for x
    x = 299,923,808,409/250,108
  6. Step 6: Final answer
    x = 1,199,177.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.