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Finding the Third Proportional to 185,059.69 and 393,466.36

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Solution

The third proportional to 185,059.69 and 393,466.36 is: 836,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,059.69 : 393,466.36 = 393,466.36 : x
  2. Step 2: Convert to fraction form
    185,059.69/393,466.36 = 393,466.36/x
  3. Step 3: Cross multiply
    185,059.69x = 393,466.36 × 393,466.36
  4. Step 4: Simplify right side
    185,059.69x = 154,815,775,959.82
  5. Step 5: Solve for x
    x = 154,815,775,959.82/185,059.69
  6. Step 6: Final answer
    x = 836,572.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.