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Finding the Third Proportional to 181,922 and 395,646

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Solution

The third proportional to 181,922 and 395,646 is: 860,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,922 : 395,646 = 395,646 : x
  2. Step 2: Convert to fraction form
    181,922/395,646 = 395,646/x
  3. Step 3: Cross multiply
    181,922x = 395,646 × 395,646
  4. Step 4: Simplify right side
    181,922x = 156,535,757,316
  5. Step 5: Solve for x
    x = 156,535,757,316/181,922
  6. Step 6: Final answer
    x = 860,455.35

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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.