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Finding the Third Proportional to 150,295.50 and 317,358

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Solution

The third proportional to 150,295.50 and 317,358 is: 670,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,295.50 : 317,358 = 317,358 : x
  2. Step 2: Convert to fraction form
    150,295.50/317,358 = 317,358/x
  3. Step 3: Cross multiply
    150,295.50x = 317,358 × 317,358
  4. Step 4: Simplify right side
    150,295.50x = 100,716,100,164
  5. Step 5: Solve for x
    x = 100,716,100,164/150,295.50
  6. Step 6: Final answer
    x = 670,120.53

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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.