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Finding the Third Proportional to 219,432 and 294,156

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Solution

The third proportional to 219,432 and 294,156 is: 394,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,432 : 294,156 = 294,156 : x
  2. Step 2: Convert to fraction form
    219,432/294,156 = 294,156/x
  3. Step 3: Cross multiply
    219,432x = 294,156 × 294,156
  4. Step 4: Simplify right side
    219,432x = 86,527,752,336
  5. Step 5: Solve for x
    x = 86,527,752,336/219,432
  6. Step 6: Final answer
    x = 394,326.04

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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.