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Finding the Third Proportional to 126,237 and 276,229

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Solution

The third proportional to 126,237 and 276,229 is: 604,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,237 : 276,229 = 276,229 : x
  2. Step 2: Convert to fraction form
    126,237/276,229 = 276,229/x
  3. Step 3: Cross multiply
    126,237x = 276,229 × 276,229
  4. Step 4: Simplify right side
    126,237x = 76,302,460,441
  5. Step 5: Solve for x
    x = 76,302,460,441/126,237
  6. Step 6: Final answer
    x = 604,438.16

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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.