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Finding the Third Proportional to 194,670 and 295,660.13

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Solution

The third proportional to 194,670 and 295,660.13 is: 449,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,670 : 295,660.13 = 295,660.13 : x
  2. Step 2: Convert to fraction form
    194,670/295,660.13 = 295,660.13/x
  3. Step 3: Cross multiply
    194,670x = 295,660.13 × 295,660.13
  4. Step 4: Simplify right side
    194,670x = 87,414,909,515.02
  5. Step 5: Solve for x
    x = 87,414,909,515.02/194,670
  6. Step 6: Final answer
    x = 449,041.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.