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Finding the Third Proportional to 190,568 and 429,692

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Solution

The third proportional to 190,568 and 429,692 is: 968,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,568 : 429,692 = 429,692 : x
  2. Step 2: Convert to fraction form
    190,568/429,692 = 429,692/x
  3. Step 3: Cross multiply
    190,568x = 429,692 × 429,692
  4. Step 4: Simplify right side
    190,568x = 184,635,214,864
  5. Step 5: Solve for x
    x = 184,635,214,864/190,568
  6. Step 6: Final answer
    x = 968,867.88

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.