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Finding the Third Proportional to 196,841.50 and 305,378.75

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Solution

The third proportional to 196,841.50 and 305,378.75 is: 473,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,841.50 : 305,378.75 = 305,378.75 : x
  2. Step 2: Convert to fraction form
    196,841.50/305,378.75 = 305,378.75/x
  3. Step 3: Cross multiply
    196,841.50x = 305,378.75 × 305,378.75
  4. Step 4: Simplify right side
    196,841.50x = 93,256,180,951.56
  5. Step 5: Solve for x
    x = 93,256,180,951.56/196,841.50
  6. Step 6: Final answer
    x = 473,762.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.