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Finding the Third Proportional to 142,606.50 and 309,846

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Solution

The third proportional to 142,606.50 and 309,846 is: 673,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,606.50 : 309,846 = 309,846 : x
  2. Step 2: Convert to fraction form
    142,606.50/309,846 = 309,846/x
  3. Step 3: Cross multiply
    142,606.50x = 309,846 × 309,846
  4. Step 4: Simplify right side
    142,606.50x = 96,004,543,716
  5. Step 5: Solve for x
    x = 96,004,543,716/142,606.50
  6. Step 6: Final answer
    x = 673,212.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.