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Finding the Third Proportional to 144,868 and 223,863

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Solution

The third proportional to 144,868 and 223,863 is: 345,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,868 : 223,863 = 223,863 : x
  2. Step 2: Convert to fraction form
    144,868/223,863 = 223,863/x
  3. Step 3: Cross multiply
    144,868x = 223,863 × 223,863
  4. Step 4: Simplify right side
    144,868x = 50,114,642,769
  5. Step 5: Solve for x
    x = 50,114,642,769/144,868
  6. Step 6: Final answer
    x = 345,933.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.