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Finding the Third Proportional to 190,998 and 294,801

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Solution

The third proportional to 190,998 and 294,801 is: 455,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,998 : 294,801 = 294,801 : x
  2. Step 2: Convert to fraction form
    190,998/294,801 = 294,801/x
  3. Step 3: Cross multiply
    190,998x = 294,801 × 294,801
  4. Step 4: Simplify right side
    190,998x = 86,907,629,601
  5. Step 5: Solve for x
    x = 86,907,629,601/190,998
  6. Step 6: Final answer
    x = 455,018.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.