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Finding the Third Proportional to 161,051.63 and 343,431.56

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Solution

The third proportional to 161,051.63 and 343,431.56 is: 732,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,051.63 : 343,431.56 = 343,431.56 : x
  2. Step 2: Convert to fraction form
    161,051.63/343,431.56 = 343,431.56/x
  3. Step 3: Cross multiply
    161,051.63x = 343,431.56 × 343,431.56
  4. Step 4: Simplify right side
    161,051.63x = 117,945,238,121.19
  5. Step 5: Solve for x
    x = 117,945,238,121.19/161,051.63
  6. Step 6: Final answer
    x = 732,344.29

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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.