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Finding the Third Proportional to 250,936 and 514,102

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Solution

The third proportional to 250,936 and 514,102 is: 1,053,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,936 : 514,102 = 514,102 : x
  2. Step 2: Convert to fraction form
    250,936/514,102 = 514,102/x
  3. Step 3: Cross multiply
    250,936x = 514,102 × 514,102
  4. Step 4: Simplify right side
    250,936x = 264,300,866,404
  5. Step 5: Solve for x
    x = 264,300,866,404/250,936
  6. Step 6: Final answer
    x = 1,053,260.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.