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Finding the Third Proportional to 199,076 and 297,884

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Solution

The third proportional to 199,076 and 297,884 is: 445,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,076 : 297,884 = 297,884 : x
  2. Step 2: Convert to fraction form
    199,076/297,884 = 297,884/x
  3. Step 3: Cross multiply
    199,076x = 297,884 × 297,884
  4. Step 4: Simplify right side
    199,076x = 88,734,877,456
  5. Step 5: Solve for x
    x = 88,734,877,456/199,076
  6. Step 6: Final answer
    x = 445,733.68

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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.