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Finding the Third Proportional to 154,302 and 335,928

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Solution

The third proportional to 154,302 and 335,928 is: 731,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,302 : 335,928 = 335,928 : x
  2. Step 2: Convert to fraction form
    154,302/335,928 = 335,928/x
  3. Step 3: Cross multiply
    154,302x = 335,928 × 335,928
  4. Step 4: Simplify right side
    154,302x = 112,847,621,184
  5. Step 5: Solve for x
    x = 112,847,621,184/154,302
  6. Step 6: Final answer
    x = 731,342.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.