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Finding the Third Proportional to 183,658 and 395,324

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Solution

The third proportional to 183,658 and 395,324 is: 850,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,658 : 395,324 = 395,324 : x
  2. Step 2: Convert to fraction form
    183,658/395,324 = 395,324/x
  3. Step 3: Cross multiply
    183,658x = 395,324 × 395,324
  4. Step 4: Simplify right side
    183,658x = 156,281,064,976
  5. Step 5: Solve for x
    x = 156,281,064,976/183,658
  6. Step 6: Final answer
    x = 850,935.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.