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Finding the Third Proportional to 112,392.75 and 240,727.50

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Solution

The third proportional to 112,392.75 and 240,727.50 is: 515,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,392.75 : 240,727.50 = 240,727.50 : x
  2. Step 2: Convert to fraction form
    112,392.75/240,727.50 = 240,727.50/x
  3. Step 3: Cross multiply
    112,392.75x = 240,727.50 × 240,727.50
  4. Step 4: Simplify right side
    112,392.75x = 57,949,729,256.25
  5. Step 5: Solve for x
    x = 57,949,729,256.25/112,392.75
  6. Step 6: Final answer
    x = 515,600.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.