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Finding the Third Proportional to 205,629 and 306,738

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Solution

The third proportional to 205,629 and 306,738 is: 457,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,629 : 306,738 = 306,738 : x
  2. Step 2: Convert to fraction form
    205,629/306,738 = 306,738/x
  3. Step 3: Cross multiply
    205,629x = 306,738 × 306,738
  4. Step 4: Simplify right side
    205,629x = 94,088,200,644
  5. Step 5: Solve for x
    x = 94,088,200,644/205,629
  6. Step 6: Final answer
    x = 457,562.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.