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Finding the Third Proportional to 144,868 and 230,502

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Solution

The third proportional to 144,868 and 230,502 is: 366,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,868 : 230,502 = 230,502 : x
  2. Step 2: Convert to fraction form
    144,868/230,502 = 230,502/x
  3. Step 3: Cross multiply
    144,868x = 230,502 × 230,502
  4. Step 4: Simplify right side
    144,868x = 53,131,172,004
  5. Step 5: Solve for x
    x = 53,131,172,004/144,868
  6. Step 6: Final answer
    x = 366,755.75

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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.