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Finding the Third Proportional to 227,655 and 334,100.25

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Solution

The third proportional to 227,655 and 334,100.25 is: 490,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,655 : 334,100.25 = 334,100.25 : x
  2. Step 2: Convert to fraction form
    227,655/334,100.25 = 334,100.25/x
  3. Step 3: Cross multiply
    227,655x = 334,100.25 × 334,100.25
  4. Step 4: Simplify right side
    227,655x = 111,622,977,050.06
  5. Step 5: Solve for x
    x = 111,622,977,050.06/227,655
  6. Step 6: Final answer
    x = 490,316.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.