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Finding the Third Proportional to 142,896.23 and 219,285.14

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Solution

The third proportional to 142,896.23 and 219,285.14 is: 336,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,896.23 : 219,285.14 = 219,285.14 : x
  2. Step 2: Convert to fraction form
    142,896.23/219,285.14 = 219,285.14/x
  3. Step 3: Cross multiply
    142,896.23x = 219,285.14 × 219,285.14
  4. Step 4: Simplify right side
    142,896.23x = 48,085,972,898.93
  5. Step 5: Solve for x
    x = 48,085,972,898.93/142,896.23
  6. Step 6: Final answer
    x = 336,509.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.