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Finding the Third Proportional to 144,879 and 230,532

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Solution

The third proportional to 144,879 and 230,532 is: 366,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,879 : 230,532 = 230,532 : x
  2. Step 2: Convert to fraction form
    144,879/230,532 = 230,532/x
  3. Step 3: Cross multiply
    144,879x = 230,532 × 230,532
  4. Step 4: Simplify right side
    144,879x = 53,145,003,024
  5. Step 5: Solve for x
    x = 53,145,003,024/144,879
  6. Step 6: Final answer
    x = 366,823.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.