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Finding the Third Proportional to 117,834.75 and 251,115.19

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Solution

The third proportional to 117,834.75 and 251,115.19 is: 535,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,834.75 : 251,115.19 = 251,115.19 : x
  2. Step 2: Convert to fraction form
    117,834.75/251,115.19 = 251,115.19/x
  3. Step 3: Cross multiply
    117,834.75x = 251,115.19 × 251,115.19
  4. Step 4: Simplify right side
    117,834.75x = 63,058,837,393.16
  5. Step 5: Solve for x
    x = 63,058,837,393.16/117,834.75
  6. Step 6: Final answer
    x = 535,146.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.