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Finding the Third Proportional to 192,760.88 and 417,700.13

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Solution

The third proportional to 192,760.88 and 417,700.13 is: 905,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,760.88 : 417,700.13 = 417,700.13 : x
  2. Step 2: Convert to fraction form
    192,760.88/417,700.13 = 417,700.13/x
  3. Step 3: Cross multiply
    192,760.88x = 417,700.13 × 417,700.13
  4. Step 4: Simplify right side
    192,760.88x = 174,473,394,425.02
  5. Step 5: Solve for x
    x = 174,473,394,425.02/192,760.88
  6. Step 6: Final answer
    x = 905,128.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.