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Finding the Third Proportional to 202,000 and 443,348

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Solution

The third proportional to 202,000 and 443,348 is: 973,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000 : 443,348 = 443,348 : x
  2. Step 2: Convert to fraction form
    202,000/443,348 = 443,348/x
  3. Step 3: Cross multiply
    202,000x = 443,348 × 443,348
  4. Step 4: Simplify right side
    202,000x = 196,557,449,104
  5. Step 5: Solve for x
    x = 196,557,449,104/202,000
  6. Step 6: Final answer
    x = 973,056.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.