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Finding the Third Proportional to 144,941.50 and 208,763

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Solution

The third proportional to 144,941.50 and 208,763 is: 300,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,941.50 : 208,763 = 208,763 : x
  2. Step 2: Convert to fraction form
    144,941.50/208,763 = 208,763/x
  3. Step 3: Cross multiply
    144,941.50x = 208,763 × 208,763
  4. Step 4: Simplify right side
    144,941.50x = 43,581,990,169
  5. Step 5: Solve for x
    x = 43,581,990,169/144,941.50
  6. Step 6: Final answer
    x = 300,686.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.