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Finding the Third Proportional to 115,861 and 270,670

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Solution

The third proportional to 115,861 and 270,670 is: 632,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,861 : 270,670 = 270,670 : x
  2. Step 2: Convert to fraction form
    115,861/270,670 = 270,670/x
  3. Step 3: Cross multiply
    115,861x = 270,670 × 270,670
  4. Step 4: Simplify right side
    115,861x = 73,262,248,900
  5. Step 5: Solve for x
    x = 73,262,248,900/115,861
  6. Step 6: Final answer
    x = 632,328.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.