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Finding the Third Proportional to 194,699.25 and 418,484.25

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Solution

The third proportional to 194,699.25 and 418,484.25 is: 899,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,699.25 : 418,484.25 = 418,484.25 : x
  2. Step 2: Convert to fraction form
    194,699.25/418,484.25 = 418,484.25/x
  3. Step 3: Cross multiply
    194,699.25x = 418,484.25 × 418,484.25
  4. Step 4: Simplify right side
    194,699.25x = 175,129,067,498.06
  5. Step 5: Solve for x
    x = 175,129,067,498.06/194,699.25
  6. Step 6: Final answer
    x = 899,485.06

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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.