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Finding the Third Proportional to 152,082 and 313,800

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Solution

The third proportional to 152,082 and 313,800 is: 647,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,082 : 313,800 = 313,800 : x
  2. Step 2: Convert to fraction form
    152,082/313,800 = 313,800/x
  3. Step 3: Cross multiply
    152,082x = 313,800 × 313,800
  4. Step 4: Simplify right side
    152,082x = 98,470,440,000
  5. Step 5: Solve for x
    x = 98,470,440,000/152,082
  6. Step 6: Final answer
    x = 647,482.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.