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Finding the Third Proportional to 200,052 and 283,062

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Solution

The third proportional to 200,052 and 283,062 is: 400,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,052 : 283,062 = 283,062 : x
  2. Step 2: Convert to fraction form
    200,052/283,062 = 283,062/x
  3. Step 3: Cross multiply
    200,052x = 283,062 × 283,062
  4. Step 4: Simplify right side
    200,052x = 80,124,095,844
  5. Step 5: Solve for x
    x = 80,124,095,844/200,052
  6. Step 6: Final answer
    x = 400,516.34

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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.