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Finding the Third Proportional to 203,494.50 and 299,363.63

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Solution

The third proportional to 203,494.50 and 299,363.63 is: 440,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,494.50 : 299,363.63 = 299,363.63 : x
  2. Step 2: Convert to fraction form
    203,494.50/299,363.63 = 299,363.63/x
  3. Step 3: Cross multiply
    203,494.50x = 299,363.63 × 299,363.63
  4. Step 4: Simplify right side
    203,494.50x = 89,618,579,973.14
  5. Step 5: Solve for x
    x = 89,618,579,973.14/203,494.50
  6. Step 6: Final answer
    x = 440,398.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.