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Finding the Third Proportional to 145,845.56 and 281,439.56

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Solution

The third proportional to 145,845.56 and 281,439.56 is: 543,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,845.56 : 281,439.56 = 281,439.56 : x
  2. Step 2: Convert to fraction form
    145,845.56/281,439.56 = 281,439.56/x
  3. Step 3: Cross multiply
    145,845.56x = 281,439.56 × 281,439.56
  4. Step 4: Simplify right side
    145,845.56x = 79,208,227,340.19
  5. Step 5: Solve for x
    x = 79,208,227,340.19/145,845.56
  6. Step 6: Final answer
    x = 543,096.59

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.