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Finding the Third Proportional to 199,415 and 295,991

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Solution

The third proportional to 199,415 and 295,991 is: 439,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,415 : 295,991 = 295,991 : x
  2. Step 2: Convert to fraction form
    199,415/295,991 = 295,991/x
  3. Step 3: Cross multiply
    199,415x = 295,991 × 295,991
  4. Step 4: Simplify right side
    199,415x = 87,610,672,081
  5. Step 5: Solve for x
    x = 87,610,672,081/199,415
  6. Step 6: Final answer
    x = 439,338.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.