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Finding the Third Proportional to 194,640 and 419,664

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Solution

The third proportional to 194,640 and 419,664 is: 904,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,640 : 419,664 = 419,664 : x
  2. Step 2: Convert to fraction form
    194,640/419,664 = 419,664/x
  3. Step 3: Cross multiply
    194,640x = 419,664 × 419,664
  4. Step 4: Simplify right side
    194,640x = 176,117,872,896
  5. Step 5: Solve for x
    x = 176,117,872,896/194,640
  6. Step 6: Final answer
    x = 904,839.05

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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.