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Finding the Third Proportional to 150,518 and 313,429

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Solution

The third proportional to 150,518 and 313,429 is: 652,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,518 : 313,429 = 313,429 : x
  2. Step 2: Convert to fraction form
    150,518/313,429 = 313,429/x
  3. Step 3: Cross multiply
    150,518x = 313,429 × 313,429
  4. Step 4: Simplify right side
    150,518x = 98,237,738,041
  5. Step 5: Solve for x
    x = 98,237,738,041/150,518
  6. Step 6: Final answer
    x = 652,664.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.