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Finding the Third Proportional to 227,644 and 334,083

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Solution

The third proportional to 227,644 and 334,083 is: 490,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,644 : 334,083 = 334,083 : x
  2. Step 2: Convert to fraction form
    227,644/334,083 = 334,083/x
  3. Step 3: Cross multiply
    227,644x = 334,083 × 334,083
  4. Step 4: Simplify right side
    227,644x = 111,611,450,889
  5. Step 5: Solve for x
    x = 111,611,450,889/227,644
  6. Step 6: Final answer
    x = 490,289.45

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Why These Related Problems?

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