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Finding the Third Proportional to 182,388 and 373,794

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Solution

The third proportional to 182,388 and 373,794 is: 766,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,388 : 373,794 = 373,794 : x
  2. Step 2: Convert to fraction form
    182,388/373,794 = 373,794/x
  3. Step 3: Cross multiply
    182,388x = 373,794 × 373,794
  4. Step 4: Simplify right side
    182,388x = 139,721,954,436
  5. Step 5: Solve for x
    x = 139,721,954,436/182,388
  6. Step 6: Final answer
    x = 766,069.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.