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Finding the Third Proportional to 150,639 and 334,326

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Solution

The third proportional to 150,639 and 334,326 is: 741,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,639 : 334,326 = 334,326 : x
  2. Step 2: Convert to fraction form
    150,639/334,326 = 334,326/x
  3. Step 3: Cross multiply
    150,639x = 334,326 × 334,326
  4. Step 4: Simplify right side
    150,639x = 111,773,874,276
  5. Step 5: Solve for x
    x = 111,773,874,276/150,639
  6. Step 6: Final answer
    x = 741,998.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.