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Finding the Third Proportional to 159,440 and 335,404

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Solution

The third proportional to 159,440 and 335,404 is: 705,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,440 : 335,404 = 335,404 : x
  2. Step 2: Convert to fraction form
    159,440/335,404 = 335,404/x
  3. Step 3: Cross multiply
    159,440x = 335,404 × 335,404
  4. Step 4: Simplify right side
    159,440x = 112,495,843,216
  5. Step 5: Solve for x
    x = 112,495,843,216/159,440
  6. Step 6: Final answer
    x = 705,568.51

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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.