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Finding the Third Proportional to 189,264 and 263,160

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Solution

The third proportional to 189,264 and 263,160 is: 365,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,264 : 263,160 = 263,160 : x
  2. Step 2: Convert to fraction form
    189,264/263,160 = 263,160/x
  3. Step 3: Cross multiply
    189,264x = 263,160 × 263,160
  4. Step 4: Simplify right side
    189,264x = 69,253,185,600
  5. Step 5: Solve for x
    x = 69,253,185,600/189,264
  6. Step 6: Final answer
    x = 365,907.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.