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Finding the Third Proportional to 120,330 and 180,495

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Solution

The third proportional to 120,330 and 180,495 is: 270,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,330 : 180,495 = 180,495 : x
  2. Step 2: Convert to fraction form
    120,330/180,495 = 180,495/x
  3. Step 3: Cross multiply
    120,330x = 180,495 × 180,495
  4. Step 4: Simplify right side
    120,330x = 32,578,445,025
  5. Step 5: Solve for x
    x = 32,578,445,025/120,330
  6. Step 6: Final answer
    x = 270,742.50

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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.