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Finding the Third Proportional to 154,429.03 and 230,290.59

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Solution

The third proportional to 154,429.03 and 230,290.59 is: 343,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,429.03 : 230,290.59 = 230,290.59 : x
  2. Step 2: Convert to fraction form
    154,429.03/230,290.59 = 230,290.59/x
  3. Step 3: Cross multiply
    154,429.03x = 230,290.59 × 230,290.59
  4. Step 4: Simplify right side
    154,429.03x = 53,033,757,569.73
  5. Step 5: Solve for x
    x = 53,033,757,569.73/154,429.03
  6. Step 6: Final answer
    x = 343,418.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.