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Finding the Third Proportional to 154,708 and 339,284

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Solution

The third proportional to 154,708 and 339,284 is: 744,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,708 : 339,284 = 339,284 : x
  2. Step 2: Convert to fraction form
    154,708/339,284 = 339,284/x
  3. Step 3: Cross multiply
    154,708x = 339,284 × 339,284
  4. Step 4: Simplify right side
    154,708x = 115,113,632,656
  5. Step 5: Solve for x
    x = 115,113,632,656/154,708
  6. Step 6: Final answer
    x = 744,070.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.