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Finding the Third Proportional to 205,323 and 307,149

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Solution

The third proportional to 205,323 and 307,149 is: 459,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,323 : 307,149 = 307,149 : x
  2. Step 2: Convert to fraction form
    205,323/307,149 = 307,149/x
  3. Step 3: Cross multiply
    205,323x = 307,149 × 307,149
  4. Step 4: Simplify right side
    205,323x = 94,340,508,201
  5. Step 5: Solve for x
    x = 94,340,508,201/205,323
  6. Step 6: Final answer
    x = 459,473.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.