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Finding the Third Proportional to 145,934 and 209,684

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Solution

The third proportional to 145,934 and 209,684 is: 301,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,934 : 209,684 = 209,684 : x
  2. Step 2: Convert to fraction form
    145,934/209,684 = 209,684/x
  3. Step 3: Cross multiply
    145,934x = 209,684 × 209,684
  4. Step 4: Simplify right side
    145,934x = 43,967,379,856
  5. Step 5: Solve for x
    x = 43,967,379,856/145,934
  6. Step 6: Final answer
    x = 301,282.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.