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Finding the Third Proportional to 154,858 and 335,060

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Solution

The third proportional to 154,858 and 335,060 is: 724,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,858 : 335,060 = 335,060 : x
  2. Step 2: Convert to fraction form
    154,858/335,060 = 335,060/x
  3. Step 3: Cross multiply
    154,858x = 335,060 × 335,060
  4. Step 4: Simplify right side
    154,858x = 112,265,203,600
  5. Step 5: Solve for x
    x = 112,265,203,600/154,858
  6. Step 6: Final answer
    x = 724,955.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.