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Finding the Third Proportional to 133,974 and 293,058

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Solution

The third proportional to 133,974 and 293,058 is: 641,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,974 : 293,058 = 293,058 : x
  2. Step 2: Convert to fraction form
    133,974/293,058 = 293,058/x
  3. Step 3: Cross multiply
    133,974x = 293,058 × 293,058
  4. Step 4: Simplify right side
    133,974x = 85,882,991,364
  5. Step 5: Solve for x
    x = 85,882,991,364/133,974
  6. Step 6: Final answer
    x = 641,042.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.