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Finding the Third Proportional to 185,648 and 298,921

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Solution

The third proportional to 185,648 and 298,921 is: 481,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,648 : 298,921 = 298,921 : x
  2. Step 2: Convert to fraction form
    185,648/298,921 = 298,921/x
  3. Step 3: Cross multiply
    185,648x = 298,921 × 298,921
  4. Step 4: Simplify right side
    185,648x = 89,353,764,241
  5. Step 5: Solve for x
    x = 89,353,764,241/185,648
  6. Step 6: Final answer
    x = 481,307.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.