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Finding the Third Proportional to 227,642 and 334,080

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Solution

The third proportional to 227,642 and 334,080 is: 490,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,642 : 334,080 = 334,080 : x
  2. Step 2: Convert to fraction form
    227,642/334,080 = 334,080/x
  3. Step 3: Cross multiply
    227,642x = 334,080 × 334,080
  4. Step 4: Simplify right side
    227,642x = 111,609,446,400
  5. Step 5: Solve for x
    x = 111,609,446,400/227,642
  6. Step 6: Final answer
    x = 490,284.95

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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.