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Finding the Third Proportional to 127,196 and 276,260

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Solution

The third proportional to 127,196 and 276,260 is: 600,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,196 : 276,260 = 276,260 : x
  2. Step 2: Convert to fraction form
    127,196/276,260 = 276,260/x
  3. Step 3: Cross multiply
    127,196x = 276,260 × 276,260
  4. Step 4: Simplify right side
    127,196x = 76,319,587,600
  5. Step 5: Solve for x
    x = 76,319,587,600/127,196
  6. Step 6: Final answer
    x = 600,015.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.