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Finding the Third Proportional to 126,254 and 276,262

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Solution

The third proportional to 126,254 and 276,262 is: 604,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,254 : 276,262 = 276,262 : x
  2. Step 2: Convert to fraction form
    126,254/276,262 = 276,262/x
  3. Step 3: Cross multiply
    126,254x = 276,262 × 276,262
  4. Step 4: Simplify right side
    126,254x = 76,320,692,644
  5. Step 5: Solve for x
    x = 76,320,692,644/126,254
  6. Step 6: Final answer
    x = 604,501.19

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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.