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Finding the Third Proportional to 180,407.25 and 387,468

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Solution

The third proportional to 180,407.25 and 387,468 is: 832,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407.25 : 387,468 = 387,468 : x
  2. Step 2: Convert to fraction form
    180,407.25/387,468 = 387,468/x
  3. Step 3: Cross multiply
    180,407.25x = 387,468 × 387,468
  4. Step 4: Simplify right side
    180,407.25x = 150,131,451,024
  5. Step 5: Solve for x
    x = 150,131,451,024/180,407.25
  6. Step 6: Final answer
    x = 832,180.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.