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Finding the Third Proportional to 199,288 and 296,093

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Solution

The third proportional to 199,288 and 296,093 is: 439,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,288 : 296,093 = 296,093 : x
  2. Step 2: Convert to fraction form
    199,288/296,093 = 296,093/x
  3. Step 3: Cross multiply
    199,288x = 296,093 × 296,093
  4. Step 4: Simplify right side
    199,288x = 87,671,064,649
  5. Step 5: Solve for x
    x = 87,671,064,649/199,288
  6. Step 6: Final answer
    x = 439,921.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.