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Finding the Third Proportional to 230,947.88 and 367,763.63

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Solution

The third proportional to 230,947.88 and 367,763.63 is: 585,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,947.88 : 367,763.63 = 367,763.63 : x
  2. Step 2: Convert to fraction form
    230,947.88/367,763.63 = 367,763.63/x
  3. Step 3: Cross multiply
    230,947.88x = 367,763.63 × 367,763.63
  4. Step 4: Simplify right side
    230,947.88x = 135,250,083,873.14
  5. Step 5: Solve for x
    x = 135,250,083,873.14/230,947.88
  6. Step 6: Final answer
    x = 585,630.35

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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.