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Finding the Third Proportional to 138,786.19 and 298,622.25

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Solution

The third proportional to 138,786.19 and 298,622.25 is: 642,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,786.19 : 298,622.25 = 298,622.25 : x
  2. Step 2: Convert to fraction form
    138,786.19/298,622.25 = 298,622.25/x
  3. Step 3: Cross multiply
    138,786.19x = 298,622.25 × 298,622.25
  4. Step 4: Simplify right side
    138,786.19x = 89,175,248,195.06
  5. Step 5: Solve for x
    x = 89,175,248,195.06/138,786.19
  6. Step 6: Final answer
    x = 642,536.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.