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Finding the Third Proportional to 160,390.13 and 347,247

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Solution

The third proportional to 160,390.13 and 347,247 is: 751,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,390.13 : 347,247 = 347,247 : x
  2. Step 2: Convert to fraction form
    160,390.13/347,247 = 347,247/x
  3. Step 3: Cross multiply
    160,390.13x = 347,247 × 347,247
  4. Step 4: Simplify right side
    160,390.13x = 120,580,479,009
  5. Step 5: Solve for x
    x = 120,580,479,009/160,390.13
  6. Step 6: Final answer
    x = 751,794.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.