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Finding the Third Proportional to 159,064.31 and 343,035.56

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Solution

The third proportional to 159,064.31 and 343,035.56 is: 739,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,064.31 : 343,035.56 = 343,035.56 : x
  2. Step 2: Convert to fraction form
    159,064.31/343,035.56 = 343,035.56/x
  3. Step 3: Cross multiply
    159,064.31x = 343,035.56 × 343,035.56
  4. Step 4: Simplify right side
    159,064.31x = 117,673,397,139.69
  5. Step 5: Solve for x
    x = 117,673,397,139.69/159,064.31
  6. Step 6: Final answer
    x = 739,785.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.