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Finding the Third Proportional to 159,156 and 333,648

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Solution

The third proportional to 159,156 and 333,648 is: 699,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,156 : 333,648 = 333,648 : x
  2. Step 2: Convert to fraction form
    159,156/333,648 = 333,648/x
  3. Step 3: Cross multiply
    159,156x = 333,648 × 333,648
  4. Step 4: Simplify right side
    159,156x = 111,320,987,904
  5. Step 5: Solve for x
    x = 111,320,987,904/159,156
  6. Step 6: Final answer
    x = 699,445.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.