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Finding the Third Proportional to 200,264 and 300,436

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Solution

The third proportional to 200,264 and 300,436 is: 450,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,264 : 300,436 = 300,436 : x
  2. Step 2: Convert to fraction form
    200,264/300,436 = 300,436/x
  3. Step 3: Cross multiply
    200,264x = 300,436 × 300,436
  4. Step 4: Simplify right side
    200,264x = 90,261,790,096
  5. Step 5: Solve for x
    x = 90,261,790,096/200,264
  6. Step 6: Final answer
    x = 450,714.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.