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Finding the Third Proportional to 205,180 and 306,948

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Solution

The third proportional to 205,180 and 306,948 is: 459,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,180 : 306,948 = 306,948 : x
  2. Step 2: Convert to fraction form
    205,180/306,948 = 306,948/x
  3. Step 3: Cross multiply
    205,180x = 306,948 × 306,948
  4. Step 4: Simplify right side
    205,180x = 94,217,074,704
  5. Step 5: Solve for x
    x = 94,217,074,704/205,180
  6. Step 6: Final answer
    x = 459,192.29

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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.