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Finding the Third Proportional to 178,496 and 388,092

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Solution

The third proportional to 178,496 and 388,092 is: 843,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,496 : 388,092 = 388,092 : x
  2. Step 2: Convert to fraction form
    178,496/388,092 = 388,092/x
  3. Step 3: Cross multiply
    178,496x = 388,092 × 388,092
  4. Step 4: Simplify right side
    178,496x = 150,615,400,464
  5. Step 5: Solve for x
    x = 150,615,400,464/178,496
  6. Step 6: Final answer
    x = 843,802.66

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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.