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Finding the Third Proportional to 205,223 and 296,958

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Solution

The third proportional to 205,223 and 296,958 is: 429,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,223 : 296,958 = 296,958 : x
  2. Step 2: Convert to fraction form
    205,223/296,958 = 296,958/x
  3. Step 3: Cross multiply
    205,223x = 296,958 × 296,958
  4. Step 4: Simplify right side
    205,223x = 88,184,053,764
  5. Step 5: Solve for x
    x = 88,184,053,764/205,223
  6. Step 6: Final answer
    x = 429,698.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.