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Finding the Third Proportional to 194,883.75 and 304,632

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Solution

The third proportional to 194,883.75 and 304,632 is: 476,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,883.75 : 304,632 = 304,632 : x
  2. Step 2: Convert to fraction form
    194,883.75/304,632 = 304,632/x
  3. Step 3: Cross multiply
    194,883.75x = 304,632 × 304,632
  4. Step 4: Simplify right side
    194,883.75x = 92,800,655,424
  5. Step 5: Solve for x
    x = 92,800,655,424/194,883.75
  6. Step 6: Final answer
    x = 476,184.68

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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.