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Finding the Third Proportional to 70,602.89 and 155,199.16

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Solution

The third proportional to 70,602.89 and 155,199.16 is: 341,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,602.89 : 155,199.16 = 155,199.16 : x
  2. Step 2: Convert to fraction form
    70,602.89/155,199.16 = 155,199.16/x
  3. Step 3: Cross multiply
    70,602.89x = 155,199.16 × 155,199.16
  4. Step 4: Simplify right side
    70,602.89x = 24,086,780,525.70
  5. Step 5: Solve for x
    x = 24,086,780,525.70/70,602.89
  6. Step 6: Final answer
    x = 341,158.56

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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.