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Finding the Third Proportional to 136,934 and 298,898

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Solution

The third proportional to 136,934 and 298,898 is: 652,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,934 : 298,898 = 298,898 : x
  2. Step 2: Convert to fraction form
    136,934/298,898 = 298,898/x
  3. Step 3: Cross multiply
    136,934x = 298,898 × 298,898
  4. Step 4: Simplify right side
    136,934x = 89,340,014,404
  5. Step 5: Solve for x
    x = 89,340,014,404/136,934
  6. Step 6: Final answer
    x = 652,431.20

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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.