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Finding the Third Proportional to 174,162 and 260,567.50

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Solution

The third proportional to 174,162 and 260,567.50 is: 389,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,162 : 260,567.50 = 260,567.50 : x
  2. Step 2: Convert to fraction form
    174,162/260,567.50 = 260,567.50/x
  3. Step 3: Cross multiply
    174,162x = 260,567.50 × 260,567.50
  4. Step 4: Simplify right side
    174,162x = 67,895,422,056.25
  5. Step 5: Solve for x
    x = 67,895,422,056.25/174,162
  6. Step 6: Final answer
    x = 389,840.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.