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Finding the Third Proportional to 219,429 and 293,604.75

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Solution

The third proportional to 219,429 and 293,604.75 is: 392,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,429 : 293,604.75 = 293,604.75 : x
  2. Step 2: Convert to fraction form
    219,429/293,604.75 = 293,604.75/x
  3. Step 3: Cross multiply
    219,429x = 293,604.75 × 293,604.75
  4. Step 4: Simplify right side
    219,429x = 86,203,749,222.56
  5. Step 5: Solve for x
    x = 86,203,749,222.56/219,429
  6. Step 6: Final answer
    x = 392,854.86

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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.