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Finding the Third Proportional to 126,292 and 276,368

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Solution

The third proportional to 126,292 and 276,368 is: 604,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,292 : 276,368 = 276,368 : x
  2. Step 2: Convert to fraction form
    126,292/276,368 = 276,368/x
  3. Step 3: Cross multiply
    126,292x = 276,368 × 276,368
  4. Step 4: Simplify right side
    126,292x = 76,379,271,424
  5. Step 5: Solve for x
    x = 76,379,271,424/126,292
  6. Step 6: Final answer
    x = 604,783.13

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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.