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Finding the Third Proportional to 194,360 and 419,344

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Solution

The third proportional to 194,360 and 419,344 is: 904,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,360 : 419,344 = 419,344 : x
  2. Step 2: Convert to fraction form
    194,360/419,344 = 419,344/x
  3. Step 3: Cross multiply
    194,360x = 419,344 × 419,344
  4. Step 4: Simplify right side
    194,360x = 175,849,390,336
  5. Step 5: Solve for x
    x = 175,849,390,336/194,360
  6. Step 6: Final answer
    x = 904,761.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.