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Finding the Third Proportional to 135,326 and 306,077

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Solution

The third proportional to 135,326 and 306,077 is: 692,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,326 : 306,077 = 306,077 : x
  2. Step 2: Convert to fraction form
    135,326/306,077 = 306,077/x
  3. Step 3: Cross multiply
    135,326x = 306,077 × 306,077
  4. Step 4: Simplify right side
    135,326x = 93,683,129,929
  5. Step 5: Solve for x
    x = 93,683,129,929/135,326
  6. Step 6: Final answer
    x = 692,277.39

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.