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Finding the Third Proportional to 219,434 and 294,159

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Solution

The third proportional to 219,434 and 294,159 is: 394,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,434 : 294,159 = 294,159 : x
  2. Step 2: Convert to fraction form
    219,434/294,159 = 294,159/x
  3. Step 3: Cross multiply
    219,434x = 294,159 × 294,159
  4. Step 4: Simplify right side
    219,434x = 86,529,517,281
  5. Step 5: Solve for x
    x = 86,529,517,281/219,434
  6. Step 6: Final answer
    x = 394,330.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.