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Finding the Third Proportional to 185,341 and 406,768

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Solution

The third proportional to 185,341 and 406,768 is: 892,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,341 : 406,768 = 406,768 : x
  2. Step 2: Convert to fraction form
    185,341/406,768 = 406,768/x
  3. Step 3: Cross multiply
    185,341x = 406,768 × 406,768
  4. Step 4: Simplify right side
    185,341x = 165,460,205,824
  5. Step 5: Solve for x
    x = 165,460,205,824/185,341
  6. Step 6: Final answer
    x = 892,733.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.