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Finding the Third Proportional to 159,876.28 and 346,644.56

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Solution

The third proportional to 159,876.28 and 346,644.56 is: 751,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,876.28 : 346,644.56 = 346,644.56 : x
  2. Step 2: Convert to fraction form
    159,876.28/346,644.56 = 346,644.56/x
  3. Step 3: Cross multiply
    159,876.28x = 346,644.56 × 346,644.56
  4. Step 4: Simplify right side
    159,876.28x = 120,162,452,710.82
  5. Step 5: Solve for x
    x = 120,162,452,710.82/159,876.28
  6. Step 6: Final answer
    x = 751,596.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.