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Finding the Third Proportional to 143,619 and 219,316

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Solution

The third proportional to 143,619 and 219,316 is: 334,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,619 : 219,316 = 219,316 : x
  2. Step 2: Convert to fraction form
    143,619/219,316 = 219,316/x
  3. Step 3: Cross multiply
    143,619x = 219,316 × 219,316
  4. Step 4: Simplify right side
    143,619x = 48,099,507,856
  5. Step 5: Solve for x
    x = 48,099,507,856/143,619
  6. Step 6: Final answer
    x = 334,910.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.