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Finding the Third Proportional to 212,050 and 449,348

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Solution

The third proportional to 212,050 and 449,348 is: 952,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,050 : 449,348 = 449,348 : x
  2. Step 2: Convert to fraction form
    212,050/449,348 = 449,348/x
  3. Step 3: Cross multiply
    212,050x = 449,348 × 449,348
  4. Step 4: Simplify right side
    212,050x = 201,913,625,104
  5. Step 5: Solve for x
    x = 201,913,625,104/212,050
  6. Step 6: Final answer
    x = 952,198.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.