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Finding the Third Proportional to 150,274 and 317,314

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Solution

The third proportional to 150,274 and 317,314 is: 670,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,274 : 317,314 = 317,314 : x
  2. Step 2: Convert to fraction form
    150,274/317,314 = 317,314/x
  3. Step 3: Cross multiply
    150,274x = 317,314 × 317,314
  4. Step 4: Simplify right side
    150,274x = 100,688,174,596
  5. Step 5: Solve for x
    x = 100,688,174,596/150,274
  6. Step 6: Final answer
    x = 670,030.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.