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Finding the Third Proportional to 190,996 and 294,796

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Solution

The third proportional to 190,996 and 294,796 is: 455,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,996 : 294,796 = 294,796 : x
  2. Step 2: Convert to fraction form
    190,996/294,796 = 294,796/x
  3. Step 3: Cross multiply
    190,996x = 294,796 × 294,796
  4. Step 4: Simplify right side
    190,996x = 86,904,681,616
  5. Step 5: Solve for x
    x = 86,904,681,616/190,996
  6. Step 6: Final answer
    x = 455,007.86

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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.