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Finding the Third Proportional to 172,784.25 and 270,462.66

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Solution

The third proportional to 172,784.25 and 270,462.66 is: 423,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,784.25 : 270,462.66 = 270,462.66 : x
  2. Step 2: Convert to fraction form
    172,784.25/270,462.66 = 270,462.66/x
  3. Step 3: Cross multiply
    172,784.25x = 270,462.66 × 270,462.66
  4. Step 4: Simplify right side
    172,784.25x = 73,150,048,425.81
  5. Step 5: Solve for x
    x = 73,150,048,425.81/172,784.25
  6. Step 6: Final answer
    x = 423,360.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.