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Finding the Third Proportional to 161,056.13 and 343,440.56

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Solution

The third proportional to 161,056.13 and 343,440.56 is: 732,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,056.13 : 343,440.56 = 343,440.56 : x
  2. Step 2: Convert to fraction form
    161,056.13/343,440.56 = 343,440.56/x
  3. Step 3: Cross multiply
    161,056.13x = 343,440.56 × 343,440.56
  4. Step 4: Simplify right side
    161,056.13x = 117,951,419,970.32
  5. Step 5: Solve for x
    x = 117,951,419,970.32/161,056.13
  6. Step 6: Final answer
    x = 732,362.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.