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Finding the Third Proportional to 185,059.69 and 399,628.69

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Solution

The third proportional to 185,059.69 and 399,628.69 is: 862,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,059.69 : 399,628.69 = 399,628.69 : x
  2. Step 2: Convert to fraction form
    185,059.69/399,628.69 = 399,628.69/x
  3. Step 3: Cross multiply
    185,059.69x = 399,628.69 × 399,628.69
  4. Step 4: Simplify right side
    185,059.69x = 159,703,087,872.97
  5. Step 5: Solve for x
    x = 159,703,087,872.97/185,059.69
  6. Step 6: Final answer
    x = 862,981.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.