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Finding the Third Proportional to 143,758.50 and 223,233

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Solution

The third proportional to 143,758.50 and 223,233 is: 346,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,758.50 : 223,233 = 223,233 : x
  2. Step 2: Convert to fraction form
    143,758.50/223,233 = 223,233/x
  3. Step 3: Cross multiply
    143,758.50x = 223,233 × 223,233
  4. Step 4: Simplify right side
    143,758.50x = 49,832,972,289
  5. Step 5: Solve for x
    x = 49,832,972,289/143,758.50
  6. Step 6: Final answer
    x = 346,643.66

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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.