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Finding the Third Proportional to 283,168 and 608,308

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Solution

The third proportional to 283,168 and 608,308 is: 1,306,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,168 : 608,308 = 608,308 : x
  2. Step 2: Convert to fraction form
    283,168/608,308 = 608,308/x
  3. Step 3: Cross multiply
    283,168x = 608,308 × 608,308
  4. Step 4: Simplify right side
    283,168x = 370,038,622,864
  5. Step 5: Solve for x
    x = 370,038,622,864/283,168
  6. Step 6: Final answer
    x = 1,306,781.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.