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Finding the Third Proportional to 191,196 and 303,668

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Solution

The third proportional to 191,196 and 303,668 is: 482,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,196 : 303,668 = 303,668 : x
  2. Step 2: Convert to fraction form
    191,196/303,668 = 303,668/x
  3. Step 3: Cross multiply
    191,196x = 303,668 × 303,668
  4. Step 4: Simplify right side
    191,196x = 92,214,254,224
  5. Step 5: Solve for x
    x = 92,214,254,224/191,196
  6. Step 6: Final answer
    x = 482,302.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.