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Finding the Third Proportional to 65,790.56 and 155,204.44

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Solution

The third proportional to 65,790.56 and 155,204.44 is: 366,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,790.56 : 155,204.44 = 155,204.44 : x
  2. Step 2: Convert to fraction form
    65,790.56/155,204.44 = 155,204.44/x
  3. Step 3: Cross multiply
    65,790.56x = 155,204.44 × 155,204.44
  4. Step 4: Simplify right side
    65,790.56x = 24,088,417,419.69
  5. Step 5: Solve for x
    x = 24,088,417,419.69/65,790.56
  6. Step 6: Final answer
    x = 366,137.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.