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Finding the Third Proportional to 180,807 and 393,327

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Solution

The third proportional to 180,807 and 393,327 is: 855,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,807 : 393,327 = 393,327 : x
  2. Step 2: Convert to fraction form
    180,807/393,327 = 393,327/x
  3. Step 3: Cross multiply
    180,807x = 393,327 × 393,327
  4. Step 4: Simplify right side
    180,807x = 154,706,128,929
  5. Step 5: Solve for x
    x = 154,706,128,929/180,807
  6. Step 6: Final answer
    x = 855,642.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.