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Finding the Third Proportional to 126,346 and 274,964

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Solution

The third proportional to 126,346 and 274,964 is: 598,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,346 : 274,964 = 274,964 : x
  2. Step 2: Convert to fraction form
    126,346/274,964 = 274,964/x
  3. Step 3: Cross multiply
    126,346x = 274,964 × 274,964
  4. Step 4: Simplify right side
    126,346x = 75,605,201,296
  5. Step 5: Solve for x
    x = 75,605,201,296/126,346
  6. Step 6: Final answer
    x = 598,398.06

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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.