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Finding the Third Proportional to 70,857.56 and 155,537.44

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Solution

The third proportional to 70,857.56 and 155,537.44 is: 341,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,857.56 : 155,537.44 = 155,537.44 : x
  2. Step 2: Convert to fraction form
    70,857.56/155,537.44 = 155,537.44/x
  3. Step 3: Cross multiply
    70,857.56x = 155,537.44 × 155,537.44
  4. Step 4: Simplify right side
    70,857.56x = 24,191,894,464.07
  5. Step 5: Solve for x
    x = 24,191,894,464.07/70,857.56
  6. Step 6: Final answer
    x = 341,415.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.