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Finding the Third Proportional to 144,763 and 208,840

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Solution

The third proportional to 144,763 and 208,840 is: 301,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,763 : 208,840 = 208,840 : x
  2. Step 2: Convert to fraction form
    144,763/208,840 = 208,840/x
  3. Step 3: Cross multiply
    144,763x = 208,840 × 208,840
  4. Step 4: Simplify right side
    144,763x = 43,614,145,600
  5. Step 5: Solve for x
    x = 43,614,145,600/144,763
  6. Step 6: Final answer
    x = 301,279.65

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Why These Related Problems?

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