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Finding the Third Proportional to 189,378.50 and 408,275

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Solution

The third proportional to 189,378.50 and 408,275 is: 880,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,378.50 : 408,275 = 408,275 : x
  2. Step 2: Convert to fraction form
    189,378.50/408,275 = 408,275/x
  3. Step 3: Cross multiply
    189,378.50x = 408,275 × 408,275
  4. Step 4: Simplify right side
    189,378.50x = 166,688,475,625
  5. Step 5: Solve for x
    x = 166,688,475,625/189,378.50
  6. Step 6: Final answer
    x = 880,186.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.