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Finding the Third Proportional to 174,953.25 and 278,520.19

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Solution

The third proportional to 174,953.25 and 278,520.19 is: 443,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,953.25 : 278,520.19 = 278,520.19 : x
  2. Step 2: Convert to fraction form
    174,953.25/278,520.19 = 278,520.19/x
  3. Step 3: Cross multiply
    174,953.25x = 278,520.19 × 278,520.19
  4. Step 4: Simplify right side
    174,953.25x = 77,573,494,845.04
  5. Step 5: Solve for x
    x = 77,573,494,845.04/174,953.25
  6. Step 6: Final answer
    x = 443,395.56

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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.