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Finding the Third Proportional to 149,326 and 322,405

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Solution

The third proportional to 149,326 and 322,405 is: 696,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,326 : 322,405 = 322,405 : x
  2. Step 2: Convert to fraction form
    149,326/322,405 = 322,405/x
  3. Step 3: Cross multiply
    149,326x = 322,405 × 322,405
  4. Step 4: Simplify right side
    149,326x = 103,944,984,025
  5. Step 5: Solve for x
    x = 103,944,984,025/149,326
  6. Step 6: Final answer
    x = 696,094.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.