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Finding the Third Proportional to 84,578.25 and 200,368.88

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Solution

The third proportional to 84,578.25 and 200,368.88 is: 474,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,578.25 : 200,368.88 = 200,368.88 : x
  2. Step 2: Convert to fraction form
    84,578.25/200,368.88 = 200,368.88/x
  3. Step 3: Cross multiply
    84,578.25x = 200,368.88 × 200,368.88
  4. Step 4: Simplify right side
    84,578.25x = 40,147,686,068.77
  5. Step 5: Solve for x
    x = 40,147,686,068.77/84,578.25
  6. Step 6: Final answer
    x = 474,680.97

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.