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Finding the Third Proportional to 180,940.13 and 386,727.94

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Solution

The third proportional to 180,940.13 and 386,727.94 is: 826,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,940.13 : 386,727.94 = 386,727.94 : x
  2. Step 2: Convert to fraction form
    180,940.13/386,727.94 = 386,727.94/x
  3. Step 3: Cross multiply
    180,940.13x = 386,727.94 × 386,727.94
  4. Step 4: Simplify right side
    180,940.13x = 149,558,497,643.00
  5. Step 5: Solve for x
    x = 149,558,497,643.00/180,940.13
  6. Step 6: Final answer
    x = 826,563.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.