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Finding the Third Proportional to 152,674 and 309,660

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Solution

The third proportional to 152,674 and 309,660 is: 628,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,674 : 309,660 = 309,660 : x
  2. Step 2: Convert to fraction form
    152,674/309,660 = 309,660/x
  3. Step 3: Cross multiply
    152,674x = 309,660 × 309,660
  4. Step 4: Simplify right side
    152,674x = 95,889,315,600
  5. Step 5: Solve for x
    x = 95,889,315,600/152,674
  6. Step 6: Final answer
    x = 628,065.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.