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Finding the Third Proportional to 203,799 and 299,434.50

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Solution

The third proportional to 203,799 and 299,434.50 is: 439,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,799 : 299,434.50 = 299,434.50 : x
  2. Step 2: Convert to fraction form
    203,799/299,434.50 = 299,434.50/x
  3. Step 3: Cross multiply
    203,799x = 299,434.50 × 299,434.50
  4. Step 4: Simplify right side
    203,799x = 89,661,019,790.25
  5. Step 5: Solve for x
    x = 89,661,019,790.25/203,799
  6. Step 6: Final answer
    x = 439,948.28

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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.