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Finding the Third Proportional to 183,496 and 386,918

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Solution

The third proportional to 183,496 and 386,918 is: 815,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,496 : 386,918 = 386,918 : x
  2. Step 2: Convert to fraction form
    183,496/386,918 = 386,918/x
  3. Step 3: Cross multiply
    183,496x = 386,918 × 386,918
  4. Step 4: Simplify right side
    183,496x = 149,705,538,724
  5. Step 5: Solve for x
    x = 149,705,538,724/183,496
  6. Step 6: Final answer
    x = 815,851.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.