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Finding the Third Proportional to 149,024 and 323,284

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Solution

The third proportional to 149,024 and 323,284 is: 701,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,024 : 323,284 = 323,284 : x
  2. Step 2: Convert to fraction form
    149,024/323,284 = 323,284/x
  3. Step 3: Cross multiply
    149,024x = 323,284 × 323,284
  4. Step 4: Simplify right side
    149,024x = 104,512,544,656
  5. Step 5: Solve for x
    x = 104,512,544,656/149,024
  6. Step 6: Final answer
    x = 701,313.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.