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Finding the Third Proportional to 154,418 and 335,908

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Solution

The third proportional to 154,418 and 335,908 is: 730,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,418 : 335,908 = 335,908 : x
  2. Step 2: Convert to fraction form
    154,418/335,908 = 335,908/x
  3. Step 3: Cross multiply
    154,418x = 335,908 × 335,908
  4. Step 4: Simplify right side
    154,418x = 112,834,184,464
  5. Step 5: Solve for x
    x = 112,834,184,464/154,418
  6. Step 6: Final answer
    x = 730,706.16

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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.