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Finding the Third Proportional to 200,081.25 and 305,202.94

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Solution

The third proportional to 200,081.25 and 305,202.94 is: 465,555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,081.25 : 305,202.94 = 305,202.94 : x
  2. Step 2: Convert to fraction form
    200,081.25/305,202.94 = 305,202.94/x
  3. Step 3: Cross multiply
    200,081.25x = 305,202.94 × 305,202.94
  4. Step 4: Simplify right side
    200,081.25x = 93,148,833,058.63
  5. Step 5: Solve for x
    x = 93,148,833,058.63/200,081.25
  6. Step 6: Final answer
    x = 465,555.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.