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Finding the Third Proportional to 188,261.72 and 263,320.88

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Solution

The third proportional to 188,261.72 and 263,320.88 is: 368,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,261.72 : 263,320.88 = 263,320.88 : x
  2. Step 2: Convert to fraction form
    188,261.72/263,320.88 = 263,320.88/x
  3. Step 3: Cross multiply
    188,261.72x = 263,320.88 × 263,320.88
  4. Step 4: Simplify right side
    188,261.72x = 69,337,883,210.77
  5. Step 5: Solve for x
    x = 69,337,883,210.77/188,261.72
  6. Step 6: Final answer
    x = 368,305.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.