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Finding the Third Proportional to 200,778 and 301,194

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Solution

The third proportional to 200,778 and 301,194 is: 451,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778 : 301,194 = 301,194 : x
  2. Step 2: Convert to fraction form
    200,778/301,194 = 301,194/x
  3. Step 3: Cross multiply
    200,778x = 301,194 × 301,194
  4. Step 4: Simplify right side
    200,778x = 90,717,825,636
  5. Step 5: Solve for x
    x = 90,717,825,636/200,778
  6. Step 6: Final answer
    x = 451,831.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.