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Finding the Third Proportional to 70,602.05 and 155,197.27

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Solution

The third proportional to 70,602.05 and 155,197.27 is: 341,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,602.05 : 155,197.27 = 155,197.27 : x
  2. Step 2: Convert to fraction form
    70,602.05/155,197.27 = 155,197.27/x
  3. Step 3: Cross multiply
    70,602.05x = 155,197.27 × 155,197.27
  4. Step 4: Simplify right side
    70,602.05x = 24,086,191,257.48
  5. Step 5: Solve for x
    x = 24,086,191,257.48/70,602.05
  6. Step 6: Final answer
    x = 341,154.29

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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.