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Finding the Third Proportional to 126,348 and 274,968

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Solution

The third proportional to 126,348 and 274,968 is: 598,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,348 : 274,968 = 274,968 : x
  2. Step 2: Convert to fraction form
    126,348/274,968 = 274,968/x
  3. Step 3: Cross multiply
    126,348x = 274,968 × 274,968
  4. Step 4: Simplify right side
    126,348x = 75,607,401,024
  5. Step 5: Solve for x
    x = 75,607,401,024/126,348
  6. Step 6: Final answer
    x = 598,406.00

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