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Finding the Third Proportional to 84,640.50 and 180,148.50

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Solution

The third proportional to 84,640.50 and 180,148.50 is: 383,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,640.50 : 180,148.50 = 180,148.50 : x
  2. Step 2: Convert to fraction form
    84,640.50/180,148.50 = 180,148.50/x
  3. Step 3: Cross multiply
    84,640.50x = 180,148.50 × 180,148.50
  4. Step 4: Simplify right side
    84,640.50x = 32,453,482,052.25
  5. Step 5: Solve for x
    x = 32,453,482,052.25/84,640.50
  6. Step 6: Final answer
    x = 383,427.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.