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Finding the Third Proportional to 135,038.75 and 294,992.75

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Solution

The third proportional to 135,038.75 and 294,992.75 is: 644,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,038.75 : 294,992.75 = 294,992.75 : x
  2. Step 2: Convert to fraction form
    135,038.75/294,992.75 = 294,992.75/x
  3. Step 3: Cross multiply
    135,038.75x = 294,992.75 × 294,992.75
  4. Step 4: Simplify right side
    135,038.75x = 87,020,722,552.56
  5. Step 5: Solve for x
    x = 87,020,722,552.56/135,038.75
  6. Step 6: Final answer
    x = 644,412.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.