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Finding the Third Proportional to 126,254.50 and 276,262.50

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Solution

The third proportional to 126,254.50 and 276,262.50 is: 604,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,254.50 : 276,262.50 = 276,262.50 : x
  2. Step 2: Convert to fraction form
    126,254.50/276,262.50 = 276,262.50/x
  3. Step 3: Cross multiply
    126,254.50x = 276,262.50 × 276,262.50
  4. Step 4: Simplify right side
    126,254.50x = 76,320,968,906.25
  5. Step 5: Solve for x
    x = 76,320,968,906.25/126,254.50
  6. Step 6: Final answer
    x = 604,500.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.