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Finding the Third Proportional to 203,052 and 298,691

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Solution

The third proportional to 203,052 and 298,691 is: 439,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,052 : 298,691 = 298,691 : x
  2. Step 2: Convert to fraction form
    203,052/298,691 = 298,691/x
  3. Step 3: Cross multiply
    203,052x = 298,691 × 298,691
  4. Step 4: Simplify right side
    203,052x = 89,216,313,481
  5. Step 5: Solve for x
    x = 89,216,313,481/203,052
  6. Step 6: Final answer
    x = 439,376.68

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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.