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Finding the Third Proportional to 143,542 and 309,019

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Solution

The third proportional to 143,542 and 309,019 is: 665,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,542 : 309,019 = 309,019 : x
  2. Step 2: Convert to fraction form
    143,542/309,019 = 309,019/x
  3. Step 3: Cross multiply
    143,542x = 309,019 × 309,019
  4. Step 4: Simplify right side
    143,542x = 95,492,742,361
  5. Step 5: Solve for x
    x = 95,492,742,361/143,542
  6. Step 6: Final answer
    x = 665,259.94

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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.