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Finding the Third Proportional to 202,240 and 441,344

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Solution

The third proportional to 202,240 and 441,344 is: 963,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,240 : 441,344 = 441,344 : x
  2. Step 2: Convert to fraction form
    202,240/441,344 = 441,344/x
  3. Step 3: Cross multiply
    202,240x = 441,344 × 441,344
  4. Step 4: Simplify right side
    202,240x = 194,784,526,336
  5. Step 5: Solve for x
    x = 194,784,526,336/202,240
  6. Step 6: Final answer
    x = 963,135.51

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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.