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Finding the Third Proportional to 202,101 and 441,395

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Solution

The third proportional to 202,101 and 441,395 is: 964,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101 : 441,395 = 441,395 : x
  2. Step 2: Convert to fraction form
    202,101/441,395 = 441,395/x
  3. Step 3: Cross multiply
    202,101x = 441,395 × 441,395
  4. Step 4: Simplify right side
    202,101x = 194,829,546,025
  5. Step 5: Solve for x
    x = 194,829,546,025/202,101
  6. Step 6: Final answer
    x = 964,020.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.