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Finding the Third Proportional to 111,567.50 and 245,176

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Solution

The third proportional to 111,567.50 and 245,176 is: 538,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,567.50 : 245,176 = 245,176 : x
  2. Step 2: Convert to fraction form
    111,567.50/245,176 = 245,176/x
  3. Step 3: Cross multiply
    111,567.50x = 245,176 × 245,176
  4. Step 4: Simplify right side
    111,567.50x = 60,111,270,976
  5. Step 5: Solve for x
    x = 60,111,270,976/111,567.50
  6. Step 6: Final answer
    x = 538,788.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.