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Finding the Third Proportional to 202,112 and 441,418

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Solution

The third proportional to 202,112 and 441,418 is: 964,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,112 : 441,418 = 441,418 : x
  2. Step 2: Convert to fraction form
    202,112/441,418 = 441,418/x
  3. Step 3: Cross multiply
    202,112x = 441,418 × 441,418
  4. Step 4: Simplify right side
    202,112x = 194,849,850,724
  5. Step 5: Solve for x
    x = 194,849,850,724/202,112
  6. Step 6: Final answer
    x = 964,068.69

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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.