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Finding the Third Proportional to 142,096.15 and 303,886.69

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Solution

The third proportional to 142,096.15 and 303,886.69 is: 649,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,096.15 : 303,886.69 = 303,886.69 : x
  2. Step 2: Convert to fraction form
    142,096.15/303,886.69 = 303,886.69/x
  3. Step 3: Cross multiply
    142,096.15x = 303,886.69 × 303,886.69
  4. Step 4: Simplify right side
    142,096.15x = 92,347,118,839.72
  5. Step 5: Solve for x
    x = 92,347,118,839.72/142,096.15
  6. Step 6: Final answer
    x = 649,891.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.