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Finding the Third Proportional to 158,604.75 and 231,577.88

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Solution

The third proportional to 158,604.75 and 231,577.88 is: 338,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,604.75 : 231,577.88 = 231,577.88 : x
  2. Step 2: Convert to fraction form
    158,604.75/231,577.88 = 231,577.88/x
  3. Step 3: Cross multiply
    158,604.75x = 231,577.88 × 231,577.88
  4. Step 4: Simplify right side
    158,604.75x = 53,628,312,189.52
  5. Step 5: Solve for x
    x = 53,628,312,189.52/158,604.75
  6. Step 6: Final answer
    x = 338,125.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.