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Finding the Third Proportional to 194,784 and 419,160

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Solution

The third proportional to 194,784 and 419,160 is: 901,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,784 : 419,160 = 419,160 : x
  2. Step 2: Convert to fraction form
    194,784/419,160 = 419,160/x
  3. Step 3: Cross multiply
    194,784x = 419,160 × 419,160
  4. Step 4: Simplify right side
    194,784x = 175,695,105,600
  5. Step 5: Solve for x
    x = 175,695,105,600/194,784
  6. Step 6: Final answer
    x = 901,999.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.