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Finding the Third Proportional to 142,846.69 and 297,516.19

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Solution

The third proportional to 142,846.69 and 297,516.19 is: 619,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,846.69 : 297,516.19 = 297,516.19 : x
  2. Step 2: Convert to fraction form
    142,846.69/297,516.19 = 297,516.19/x
  3. Step 3: Cross multiply
    142,846.69x = 297,516.19 × 297,516.19
  4. Step 4: Simplify right side
    142,846.69x = 88,515,881,824.54
  5. Step 5: Solve for x
    x = 88,515,881,824.54/142,846.69
  6. Step 6: Final answer
    x = 619,656.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.