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Finding the Third Proportional to 153,888 and 231,844

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Solution

The third proportional to 153,888 and 231,844 is: 349,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,888 : 231,844 = 231,844 : x
  2. Step 2: Convert to fraction form
    153,888/231,844 = 231,844/x
  3. Step 3: Cross multiply
    153,888x = 231,844 × 231,844
  4. Step 4: Simplify right side
    153,888x = 53,751,640,336
  5. Step 5: Solve for x
    x = 53,751,640,336/153,888
  6. Step 6: Final answer
    x = 349,290.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.