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Finding the Third Proportional to 154,416 and 335,400

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Solution

The third proportional to 154,416 and 335,400 is: 728,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,416 : 335,400 = 335,400 : x
  2. Step 2: Convert to fraction form
    154,416/335,400 = 335,400/x
  3. Step 3: Cross multiply
    154,416x = 335,400 × 335,400
  4. Step 4: Simplify right side
    154,416x = 112,493,160,000
  5. Step 5: Solve for x
    x = 112,493,160,000/154,416
  6. Step 6: Final answer
    x = 728,507.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.