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Finding the Third Proportional to 126,633 and 295,846.50

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Solution

The third proportional to 126,633 and 295,846.50 is: 691,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,633 : 295,846.50 = 295,846.50 : x
  2. Step 2: Convert to fraction form
    126,633/295,846.50 = 295,846.50/x
  3. Step 3: Cross multiply
    126,633x = 295,846.50 × 295,846.50
  4. Step 4: Simplify right side
    126,633x = 87,525,151,562.25
  5. Step 5: Solve for x
    x = 87,525,151,562.25/126,633
  6. Step 6: Final answer
    x = 691,171.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.