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Finding the Third Proportional to 160,728.05 and 343,598.20

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Solution

The third proportional to 160,728.05 and 343,598.20 is: 734,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,728.05 : 343,598.20 = 343,598.20 : x
  2. Step 2: Convert to fraction form
    160,728.05/343,598.20 = 343,598.20/x
  3. Step 3: Cross multiply
    160,728.05x = 343,598.20 × 343,598.20
  4. Step 4: Simplify right side
    160,728.05x = 118,059,725,190.73
  5. Step 5: Solve for x
    x = 118,059,725,190.73/160,728.05
  6. Step 6: Final answer
    x = 734,530.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.