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Finding the Third Proportional to 200,274 and 309,996

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Solution

The third proportional to 200,274 and 309,996 is: 479,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,274 : 309,996 = 309,996 : x
  2. Step 2: Convert to fraction form
    200,274/309,996 = 309,996/x
  3. Step 3: Cross multiply
    200,274x = 309,996 × 309,996
  4. Step 4: Simplify right side
    200,274x = 96,097,520,016
  5. Step 5: Solve for x
    x = 96,097,520,016/200,274
  6. Step 6: Final answer
    x = 479,830.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.