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Finding the Third Proportional to 177,646.50 and 375,252.75

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Solution

The third proportional to 177,646.50 and 375,252.75 is: 792,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,646.50 : 375,252.75 = 375,252.75 : x
  2. Step 2: Convert to fraction form
    177,646.50/375,252.75 = 375,252.75/x
  3. Step 3: Cross multiply
    177,646.50x = 375,252.75 × 375,252.75
  4. Step 4: Simplify right side
    177,646.50x = 140,814,626,382.56
  5. Step 5: Solve for x
    x = 140,814,626,382.56/177,646.50
  6. Step 6: Final answer
    x = 792,667.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.