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Finding the Third Proportional to 159,628.22 and 343,472.91

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Solution

The third proportional to 159,628.22 and 343,472.91 is: 739,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,628.22 : 343,472.91 = 343,472.91 : x
  2. Step 2: Convert to fraction form
    159,628.22/343,472.91 = 343,472.91/x
  3. Step 3: Cross multiply
    159,628.22x = 343,472.91 × 343,472.91
  4. Step 4: Simplify right side
    159,628.22x = 117,973,637,327.82
  5. Step 5: Solve for x
    x = 117,973,637,327.82/159,628.22
  6. Step 6: Final answer
    x = 739,052.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.