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Finding the Third Proportional to 188,283 and 414,760

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Solution

The third proportional to 188,283 and 414,760 is: 913,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,283 : 414,760 = 414,760 : x
  2. Step 2: Convert to fraction form
    188,283/414,760 = 414,760/x
  3. Step 3: Cross multiply
    188,283x = 414,760 × 414,760
  4. Step 4: Simplify right side
    188,283x = 172,025,857,600
  5. Step 5: Solve for x
    x = 172,025,857,600/188,283
  6. Step 6: Final answer
    x = 913,655.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.