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Finding the Third Proportional to 143,994 and 202,686.75

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Solution

The third proportional to 143,994 and 202,686.75 is: 285,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,994 : 202,686.75 = 202,686.75 : x
  2. Step 2: Convert to fraction form
    143,994/202,686.75 = 202,686.75/x
  3. Step 3: Cross multiply
    143,994x = 202,686.75 × 202,686.75
  4. Step 4: Simplify right side
    143,994x = 41,081,918,625.56
  5. Step 5: Solve for x
    x = 41,081,918,625.56/143,994
  6. Step 6: Final answer
    x = 285,302.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.