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Finding the Third Proportional to 191,325 and 417,097

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Solution

The third proportional to 191,325 and 417,097 is: 909,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,325 : 417,097 = 417,097 : x
  2. Step 2: Convert to fraction form
    191,325/417,097 = 417,097/x
  3. Step 3: Cross multiply
    191,325x = 417,097 × 417,097
  4. Step 4: Simplify right side
    191,325x = 173,969,907,409
  5. Step 5: Solve for x
    x = 173,969,907,409/191,325
  6. Step 6: Final answer
    x = 909,289.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.