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Finding the Third Proportional to 235,177.50 and 517,176

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Solution

The third proportional to 235,177.50 and 517,176 is: 1,137,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,177.50 : 517,176 = 517,176 : x
  2. Step 2: Convert to fraction form
    235,177.50/517,176 = 517,176/x
  3. Step 3: Cross multiply
    235,177.50x = 517,176 × 517,176
  4. Step 4: Simplify right side
    235,177.50x = 267,471,014,976
  5. Step 5: Solve for x
    x = 267,471,014,976/235,177.50
  6. Step 6: Final answer
    x = 1,137,315.50

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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.