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Finding the Third Proportional to 142,344.84 and 309,600.56

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Solution

The third proportional to 142,344.84 and 309,600.56 is: 673,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,344.84 : 309,600.56 = 309,600.56 : x
  2. Step 2: Convert to fraction form
    142,344.84/309,600.56 = 309,600.56/x
  3. Step 3: Cross multiply
    142,344.84x = 309,600.56 × 309,600.56
  4. Step 4: Simplify right side
    142,344.84x = 95,852,508,300.32
  5. Step 5: Solve for x
    x = 95,852,508,300.32/142,344.84
  6. Step 6: Final answer
    x = 673,382.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.