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Finding the Third Proportional to 200,664.75 and 301,724.63

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Solution

The third proportional to 200,664.75 and 301,724.63 is: 453,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,664.75 : 301,724.63 = 301,724.63 : x
  2. Step 2: Convert to fraction form
    200,664.75/301,724.63 = 301,724.63/x
  3. Step 3: Cross multiply
    200,664.75x = 301,724.63 × 301,724.63
  4. Step 4: Simplify right side
    200,664.75x = 91,037,749,331.39
  5. Step 5: Solve for x
    x = 91,037,749,331.39/200,664.75
  6. Step 6: Final answer
    x = 453,680.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.