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Finding the Third Proportional to 126,808.50 and 294,870.75

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Solution

The third proportional to 126,808.50 and 294,870.75 is: 685,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,808.50 : 294,870.75 = 294,870.75 : x
  2. Step 2: Convert to fraction form
    126,808.50/294,870.75 = 294,870.75/x
  3. Step 3: Cross multiply
    126,808.50x = 294,870.75 × 294,870.75
  4. Step 4: Simplify right side
    126,808.50x = 86,948,759,205.56
  5. Step 5: Solve for x
    x = 86,948,759,205.56/126,808.50
  6. Step 6: Final answer
    x = 685,669.80

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.