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Finding the Third Proportional to 230,842 and 360,843

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Solution

The third proportional to 230,842 and 360,843 is: 564,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,842 : 360,843 = 360,843 : x
  2. Step 2: Convert to fraction form
    230,842/360,843 = 360,843/x
  3. Step 3: Cross multiply
    230,842x = 360,843 × 360,843
  4. Step 4: Simplify right side
    230,842x = 130,207,670,649
  5. Step 5: Solve for x
    x = 130,207,670,649/230,842
  6. Step 6: Final answer
    x = 564,055.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.