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Finding the Third Proportional to 126,665 and 276,658

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Solution

The third proportional to 126,665 and 276,658 is: 604,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,665 : 276,658 = 276,658 : x
  2. Step 2: Convert to fraction form
    126,665/276,658 = 276,658/x
  3. Step 3: Cross multiply
    126,665x = 276,658 × 276,658
  4. Step 4: Simplify right side
    126,665x = 76,539,648,964
  5. Step 5: Solve for x
    x = 76,539,648,964/126,665
  6. Step 6: Final answer
    x = 604,268.34

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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.