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Finding the Third Proportional to 139,514 and 301,384

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Solution

The third proportional to 139,514 and 301,384 is: 651,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,514 : 301,384 = 301,384 : x
  2. Step 2: Convert to fraction form
    139,514/301,384 = 301,384/x
  3. Step 3: Cross multiply
    139,514x = 301,384 × 301,384
  4. Step 4: Simplify right side
    139,514x = 90,832,315,456
  5. Step 5: Solve for x
    x = 90,832,315,456/139,514
  6. Step 6: Final answer
    x = 651,062.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.