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Finding the Third Proportional to 136,576 and 298,058

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Solution

The third proportional to 136,576 and 298,058 is: 650,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,576 : 298,058 = 298,058 : x
  2. Step 2: Convert to fraction form
    136,576/298,058 = 298,058/x
  3. Step 3: Cross multiply
    136,576x = 298,058 × 298,058
  4. Step 4: Simplify right side
    136,576x = 88,838,571,364
  5. Step 5: Solve for x
    x = 88,838,571,364/136,576
  6. Step 6: Final answer
    x = 650,469.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.