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Finding the Third Proportional to 110,863.25 and 251,323.13

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Solution

The third proportional to 110,863.25 and 251,323.13 is: 569,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,863.25 : 251,323.13 = 251,323.13 : x
  2. Step 2: Convert to fraction form
    110,863.25/251,323.13 = 251,323.13/x
  3. Step 3: Cross multiply
    110,863.25x = 251,323.13 × 251,323.13
  4. Step 4: Simplify right side
    110,863.25x = 63,163,313,159.77
  5. Step 5: Solve for x
    x = 63,163,313,159.77/110,863.25
  6. Step 6: Final answer
    x = 569,740.77

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.