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Finding the Third Proportional to 190,296 and 266,058

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Solution

The third proportional to 190,296 and 266,058 is: 371,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,296 : 266,058 = 266,058 : x
  2. Step 2: Convert to fraction form
    190,296/266,058 = 266,058/x
  3. Step 3: Cross multiply
    190,296x = 266,058 × 266,058
  4. Step 4: Simplify right side
    190,296x = 70,786,859,364
  5. Step 5: Solve for x
    x = 70,786,859,364/190,296
  6. Step 6: Final answer
    x = 371,982.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.