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Finding the Third Proportional to 107,908.50 and 237,235.50

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Solution

The third proportional to 107,908.50 and 237,235.50 is: 521,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,908.50 : 237,235.50 = 237,235.50 : x
  2. Step 2: Convert to fraction form
    107,908.50/237,235.50 = 237,235.50/x
  3. Step 3: Cross multiply
    107,908.50x = 237,235.50 × 237,235.50
  4. Step 4: Simplify right side
    107,908.50x = 56,280,682,460.25
  5. Step 5: Solve for x
    x = 56,280,682,460.25/107,908.50
  6. Step 6: Final answer
    x = 521,559.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.