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Finding the Third Proportional to 204,323 and 306,764

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Solution

The third proportional to 204,323 and 306,764 is: 460,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,323 : 306,764 = 306,764 : x
  2. Step 2: Convert to fraction form
    204,323/306,764 = 306,764/x
  3. Step 3: Cross multiply
    204,323x = 306,764 × 306,764
  4. Step 4: Simplify right side
    204,323x = 94,104,151,696
  5. Step 5: Solve for x
    x = 94,104,151,696/204,323
  6. Step 6: Final answer
    x = 460,565.63

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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.