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Finding the Third Proportional to 194,773.50 and 304,462.50

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Solution

The third proportional to 194,773.50 and 304,462.50 is: 475,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,773.50 : 304,462.50 = 304,462.50 : x
  2. Step 2: Convert to fraction form
    194,773.50/304,462.50 = 304,462.50/x
  3. Step 3: Cross multiply
    194,773.50x = 304,462.50 × 304,462.50
  4. Step 4: Simplify right side
    194,773.50x = 92,697,413,906.25
  5. Step 5: Solve for x
    x = 92,697,413,906.25/194,773.50
  6. Step 6: Final answer
    x = 475,924.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.