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Finding the Third Proportional to 123,276 and 265,279

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Solution

The third proportional to 123,276 and 265,279 is: 570,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,276 : 265,279 = 265,279 : x
  2. Step 2: Convert to fraction form
    123,276/265,279 = 265,279/x
  3. Step 3: Cross multiply
    123,276x = 265,279 × 265,279
  4. Step 4: Simplify right side
    123,276x = 70,372,947,841
  5. Step 5: Solve for x
    x = 70,372,947,841/123,276
  6. Step 6: Final answer
    x = 570,856.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.