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Finding the Third Proportional to 143,236 and 309,248

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Solution

The third proportional to 143,236 and 309,248 is: 667,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,236 : 309,248 = 309,248 : x
  2. Step 2: Convert to fraction form
    143,236/309,248 = 309,248/x
  3. Step 3: Cross multiply
    143,236x = 309,248 × 309,248
  4. Step 4: Simplify right side
    143,236x = 95,634,325,504
  5. Step 5: Solve for x
    x = 95,634,325,504/143,236
  6. Step 6: Final answer
    x = 667,669.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.