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Finding the Third Proportional to 115,040.50 and 235,657

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Solution

The third proportional to 115,040.50 and 235,657 is: 482,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,040.50 : 235,657 = 235,657 : x
  2. Step 2: Convert to fraction form
    115,040.50/235,657 = 235,657/x
  3. Step 3: Cross multiply
    115,040.50x = 235,657 × 235,657
  4. Step 4: Simplify right side
    115,040.50x = 55,534,221,649
  5. Step 5: Solve for x
    x = 55,534,221,649/115,040.50
  6. Step 6: Final answer
    x = 482,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.