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Finding the Third Proportional to 190,236 and 294,972

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Solution

The third proportional to 190,236 and 294,972 is: 457,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,236 : 294,972 = 294,972 : x
  2. Step 2: Convert to fraction form
    190,236/294,972 = 294,972/x
  3. Step 3: Cross multiply
    190,236x = 294,972 × 294,972
  4. Step 4: Simplify right side
    190,236x = 87,008,480,784
  5. Step 5: Solve for x
    x = 87,008,480,784/190,236
  6. Step 6: Final answer
    x = 457,371.27

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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.