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Finding the Third Proportional to 185,066 and 278,967

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Solution

The third proportional to 185,066 and 278,967 is: 420,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,066 : 278,967 = 278,967 : x
  2. Step 2: Convert to fraction form
    185,066/278,967 = 278,967/x
  3. Step 3: Cross multiply
    185,066x = 278,967 × 278,967
  4. Step 4: Simplify right side
    185,066x = 77,822,587,089
  5. Step 5: Solve for x
    x = 77,822,587,089/185,066
  6. Step 6: Final answer
    x = 420,512.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.