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Finding the Third Proportional to 138,267 and 301,563

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Solution

The third proportional to 138,267 and 301,563 is: 657,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,267 : 301,563 = 301,563 : x
  2. Step 2: Convert to fraction form
    138,267/301,563 = 301,563/x
  3. Step 3: Cross multiply
    138,267x = 301,563 × 301,563
  4. Step 4: Simplify right side
    138,267x = 90,940,242,969
  5. Step 5: Solve for x
    x = 90,940,242,969/138,267
  6. Step 6: Final answer
    x = 657,714.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.