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Finding the Third Proportional to 120,207 and 180,328.50

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Solution

The third proportional to 120,207 and 180,328.50 is: 270,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,207 : 180,328.50 = 180,328.50 : x
  2. Step 2: Convert to fraction form
    120,207/180,328.50 = 180,328.50/x
  3. Step 3: Cross multiply
    120,207x = 180,328.50 × 180,328.50
  4. Step 4: Simplify right side
    120,207x = 32,518,367,912.25
  5. Step 5: Solve for x
    x = 32,518,367,912.25/120,207
  6. Step 6: Final answer
    x = 270,519.75

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Why These Related Problems?

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