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Finding the Third Proportional to 179,646.75 and 394,285.88

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Solution

The third proportional to 179,646.75 and 394,285.88 is: 865,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,646.75 : 394,285.88 = 394,285.88 : x
  2. Step 2: Convert to fraction form
    179,646.75/394,285.88 = 394,285.88/x
  3. Step 3: Cross multiply
    179,646.75x = 394,285.88 × 394,285.88
  4. Step 4: Simplify right side
    179,646.75x = 155,461,351,224.52
  5. Step 5: Solve for x
    x = 155,461,351,224.52/179,646.75
  6. Step 6: Final answer
    x = 865,372.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.