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Finding the Third Proportional to 114,723 and 251,606.25

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Solution

The third proportional to 114,723 and 251,606.25 is: 551,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,723 : 251,606.25 = 251,606.25 : x
  2. Step 2: Convert to fraction form
    114,723/251,606.25 = 251,606.25/x
  3. Step 3: Cross multiply
    114,723x = 251,606.25 × 251,606.25
  4. Step 4: Simplify right side
    114,723x = 63,305,705,039.06
  5. Step 5: Solve for x
    x = 63,305,705,039.06/114,723
  6. Step 6: Final answer
    x = 551,813.54

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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.