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Finding the Third Proportional to 203,346 and 306,619

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Solution

The third proportional to 203,346 and 306,619 is: 462,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,346 : 306,619 = 306,619 : x
  2. Step 2: Convert to fraction form
    203,346/306,619 = 306,619/x
  3. Step 3: Cross multiply
    203,346x = 306,619 × 306,619
  4. Step 4: Simplify right side
    203,346x = 94,015,211,161
  5. Step 5: Solve for x
    x = 94,015,211,161/203,346
  6. Step 6: Final answer
    x = 462,341.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.