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Finding the Third Proportional to 136,520.44 and 213,698.25

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Solution

The third proportional to 136,520.44 and 213,698.25 is: 334,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,520.44 : 213,698.25 = 213,698.25 : x
  2. Step 2: Convert to fraction form
    136,520.44/213,698.25 = 213,698.25/x
  3. Step 3: Cross multiply
    136,520.44x = 213,698.25 × 213,698.25
  4. Step 4: Simplify right side
    136,520.44x = 45,666,942,053.06
  5. Step 5: Solve for x
    x = 45,666,942,053.06/136,520.44
  6. Step 6: Final answer
    x = 334,506.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.