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Finding the Third Proportional to 181,578 and 393,774

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Solution

The third proportional to 181,578 and 393,774 is: 853,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,578 : 393,774 = 393,774 : x
  2. Step 2: Convert to fraction form
    181,578/393,774 = 393,774/x
  3. Step 3: Cross multiply
    181,578x = 393,774 × 393,774
  4. Step 4: Simplify right side
    181,578x = 155,057,963,076
  5. Step 5: Solve for x
    x = 155,057,963,076/181,578
  6. Step 6: Final answer
    x = 853,946.86

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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.