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Finding the Third Proportional to 181,395 and 392,340

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Solution

The third proportional to 181,395 and 392,340 is: 848,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,395 : 392,340 = 392,340 : x
  2. Step 2: Convert to fraction form
    181,395/392,340 = 392,340/x
  3. Step 3: Cross multiply
    181,395x = 392,340 × 392,340
  4. Step 4: Simplify right side
    181,395x = 153,930,675,600
  5. Step 5: Solve for x
    x = 153,930,675,600/181,395
  6. Step 6: Final answer
    x = 848,593.82

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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.