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Finding the Third Proportional to 156,867 and 240,007.50

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Solution

The third proportional to 156,867 and 240,007.50 is: 367,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,867 : 240,007.50 = 240,007.50 : x
  2. Step 2: Convert to fraction form
    156,867/240,007.50 = 240,007.50/x
  3. Step 3: Cross multiply
    156,867x = 240,007.50 × 240,007.50
  4. Step 4: Simplify right side
    156,867x = 57,603,600,056.25
  5. Step 5: Solve for x
    x = 57,603,600,056.25/156,867
  6. Step 6: Final answer
    x = 367,212.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.