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Finding the Third Proportional to 190,198 and 294,345

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Solution

The third proportional to 190,198 and 294,345 is: 455,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,198 : 294,345 = 294,345 : x
  2. Step 2: Convert to fraction form
    190,198/294,345 = 294,345/x
  3. Step 3: Cross multiply
    190,198x = 294,345 × 294,345
  4. Step 4: Simplify right side
    190,198x = 86,638,979,025
  5. Step 5: Solve for x
    x = 86,638,979,025/190,198
  6. Step 6: Final answer
    x = 455,519.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.