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Finding the Third Proportional to 189,064.13 and 299,517.75

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Solution

The third proportional to 189,064.13 and 299,517.75 is: 474,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064.13 : 299,517.75 = 299,517.75 : x
  2. Step 2: Convert to fraction form
    189,064.13/299,517.75 = 299,517.75/x
  3. Step 3: Cross multiply
    189,064.13x = 299,517.75 × 299,517.75
  4. Step 4: Simplify right side
    189,064.13x = 89,710,882,565.06
  5. Step 5: Solve for x
    x = 89,710,882,565.06/189,064.13
  6. Step 6: Final answer
    x = 474,499.76

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.