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Finding the Third Proportional to 161,960.63 and 378,361.13

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Solution

The third proportional to 161,960.63 and 378,361.13 is: 883,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,960.63 : 378,361.13 = 378,361.13 : x
  2. Step 2: Convert to fraction form
    161,960.63/378,361.13 = 378,361.13/x
  3. Step 3: Cross multiply
    161,960.63x = 378,361.13 × 378,361.13
  4. Step 4: Simplify right side
    161,960.63x = 143,157,140,911.27
  5. Step 5: Solve for x
    x = 143,157,140,911.27/161,960.63
  6. Step 6: Final answer
    x = 883,900.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.