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Finding the Third Proportional to 142,500.94 and 200,424.38

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Solution

The third proportional to 142,500.94 and 200,424.38 is: 281,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,500.94 : 200,424.38 = 200,424.38 : x
  2. Step 2: Convert to fraction form
    142,500.94/200,424.38 = 200,424.38/x
  3. Step 3: Cross multiply
    142,500.94x = 200,424.38 × 200,424.38
  4. Step 4: Simplify right side
    142,500.94x = 40,169,930,094.14
  5. Step 5: Solve for x
    x = 40,169,930,094.14/142,500.94
  6. Step 6: Final answer
    x = 281,892.39

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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.