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Finding the Third Proportional to 194,808 and 419,708

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Solution

The third proportional to 194,808 and 419,708 is: 904,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,808 : 419,708 = 419,708 : x
  2. Step 2: Convert to fraction form
    194,808/419,708 = 419,708/x
  3. Step 3: Cross multiply
    194,808x = 419,708 × 419,708
  4. Step 4: Simplify right side
    194,808x = 176,154,805,264
  5. Step 5: Solve for x
    x = 176,154,805,264/194,808
  6. Step 6: Final answer
    x = 904,248.31

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