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Finding the Third Proportional to 110,385 and 245,751.75

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Solution

The third proportional to 110,385 and 245,751.75 is: 547,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,385 : 245,751.75 = 245,751.75 : x
  2. Step 2: Convert to fraction form
    110,385/245,751.75 = 245,751.75/x
  3. Step 3: Cross multiply
    110,385x = 245,751.75 × 245,751.75
  4. Step 4: Simplify right side
    110,385x = 60,393,922,628.06
  5. Step 5: Solve for x
    x = 60,393,922,628.06/110,385
  6. Step 6: Final answer
    x = 547,120.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.