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Finding the Third Proportional to 114,721 and 250,008

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Solution

The third proportional to 114,721 and 250,008 is: 544,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,721 : 250,008 = 250,008 : x
  2. Step 2: Convert to fraction form
    114,721/250,008 = 250,008/x
  3. Step 3: Cross multiply
    114,721x = 250,008 × 250,008
  4. Step 4: Simplify right side
    114,721x = 62,504,000,064
  5. Step 5: Solve for x
    x = 62,504,000,064/114,721
  6. Step 6: Final answer
    x = 544,834.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.