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Finding the Third Proportional to 227,652 and 334,095

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Solution

The third proportional to 227,652 and 334,095 is: 490,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,652 : 334,095 = 334,095 : x
  2. Step 2: Convert to fraction form
    227,652/334,095 = 334,095/x
  3. Step 3: Cross multiply
    227,652x = 334,095 × 334,095
  4. Step 4: Simplify right side
    227,652x = 111,619,469,025
  5. Step 5: Solve for x
    x = 111,619,469,025/227,652
  6. Step 6: Final answer
    x = 490,307.44

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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.