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Finding the Third Proportional to 186,809 and 386,911

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Solution

The third proportional to 186,809 and 386,911 is: 801,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,809 : 386,911 = 386,911 : x
  2. Step 2: Convert to fraction form
    186,809/386,911 = 386,911/x
  3. Step 3: Cross multiply
    186,809x = 386,911 × 386,911
  4. Step 4: Simplify right side
    186,809x = 149,700,121,921
  5. Step 5: Solve for x
    x = 149,700,121,921/186,809
  6. Step 6: Final answer
    x = 801,353.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.