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Finding the Third Proportional to 143,872 and 309,552

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Solution

The third proportional to 143,872 and 309,552 is: 666,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,872 : 309,552 = 309,552 : x
  2. Step 2: Convert to fraction form
    143,872/309,552 = 309,552/x
  3. Step 3: Cross multiply
    143,872x = 309,552 × 309,552
  4. Step 4: Simplify right side
    143,872x = 95,822,440,704
  5. Step 5: Solve for x
    x = 95,822,440,704/143,872
  6. Step 6: Final answer
    x = 666,025.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.