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Finding the Third Proportional to 113,252 and 250,642

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Solution

The third proportional to 113,252 and 250,642 is: 554,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,252 : 250,642 = 250,642 : x
  2. Step 2: Convert to fraction form
    113,252/250,642 = 250,642/x
  3. Step 3: Cross multiply
    113,252x = 250,642 × 250,642
  4. Step 4: Simplify right side
    113,252x = 62,821,412,164
  5. Step 5: Solve for x
    x = 62,821,412,164/113,252
  6. Step 6: Final answer
    x = 554,704.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.