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Finding the Third Proportional to 76,000.50 and 169,476.75

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Solution

The third proportional to 76,000.50 and 169,476.75 is: 377,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000.50 : 169,476.75 = 169,476.75 : x
  2. Step 2: Convert to fraction form
    76,000.50/169,476.75 = 169,476.75/x
  3. Step 3: Cross multiply
    76,000.50x = 169,476.75 × 169,476.75
  4. Step 4: Simplify right side
    76,000.50x = 28,722,368,790.56
  5. Step 5: Solve for x
    x = 28,722,368,790.56/76,000.50
  6. Step 6: Final answer
    x = 377,923.42

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1.5x scale

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.