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Finding the Third Proportional to 174,930.75 and 278,484.75

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Solution

The third proportional to 174,930.75 and 278,484.75 is: 443,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,930.75 : 278,484.75 = 278,484.75 : x
  2. Step 2: Convert to fraction form
    174,930.75/278,484.75 = 278,484.75/x
  3. Step 3: Cross multiply
    174,930.75x = 278,484.75 × 278,484.75
  4. Step 4: Simplify right side
    174,930.75x = 77,553,755,982.56
  5. Step 5: Solve for x
    x = 77,553,755,982.56/174,930.75
  6. Step 6: Final answer
    x = 443,339.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.