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Finding the Third Proportional to 200,012.50 and 281,342.50

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Solution

The third proportional to 200,012.50 and 281,342.50 is: 395,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012.50 : 281,342.50 = 281,342.50 : x
  2. Step 2: Convert to fraction form
    200,012.50/281,342.50 = 281,342.50/x
  3. Step 3: Cross multiply
    200,012.50x = 281,342.50 × 281,342.50
  4. Step 4: Simplify right side
    200,012.50x = 79,153,602,306.25
  5. Step 5: Solve for x
    x = 79,153,602,306.25/200,012.50
  6. Step 6: Final answer
    x = 395,743.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.