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Finding the Third Proportional to 144,763 and 219,604

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Solution

The third proportional to 144,763 and 219,604 is: 333,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,763 : 219,604 = 219,604 : x
  2. Step 2: Convert to fraction form
    144,763/219,604 = 219,604/x
  3. Step 3: Cross multiply
    144,763x = 219,604 × 219,604
  4. Step 4: Simplify right side
    144,763x = 48,225,916,816
  5. Step 5: Solve for x
    x = 48,225,916,816/144,763
  6. Step 6: Final answer
    x = 333,137.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.