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Finding the Third Proportional to 194,096.25 and 293,878.13

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Solution

The third proportional to 194,096.25 and 293,878.13 is: 444,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,096.25 : 293,878.13 = 293,878.13 : x
  2. Step 2: Convert to fraction form
    194,096.25/293,878.13 = 293,878.13/x
  3. Step 3: Cross multiply
    194,096.25x = 293,878.13 × 293,878.13
  4. Step 4: Simplify right side
    194,096.25x = 86,364,352,353.52
  5. Step 5: Solve for x
    x = 86,364,352,353.52/194,096.25
  6. Step 6: Final answer
    x = 444,956.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.