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Finding the Third Proportional to 192,848.63 and 294,168.94

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Solution

The third proportional to 192,848.63 and 294,168.94 is: 448,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,848.63 : 294,168.94 = 294,168.94 : x
  2. Step 2: Convert to fraction form
    192,848.63/294,168.94 = 294,168.94/x
  3. Step 3: Cross multiply
    192,848.63x = 294,168.94 × 294,168.94
  4. Step 4: Simplify right side
    192,848.63x = 86,535,363,789.88
  5. Step 5: Solve for x
    x = 86,535,363,789.88/192,848.63
  6. Step 6: Final answer
    x = 448,721.70

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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.