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Finding the Third Proportional to 206,479.50 and 302,896

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Solution

The third proportional to 206,479.50 and 302,896 is: 444,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,479.50 : 302,896 = 302,896 : x
  2. Step 2: Convert to fraction form
    206,479.50/302,896 = 302,896/x
  3. Step 3: Cross multiply
    206,479.50x = 302,896 × 302,896
  4. Step 4: Simplify right side
    206,479.50x = 91,745,986,816
  5. Step 5: Solve for x
    x = 91,745,986,816/206,479.50
  6. Step 6: Final answer
    x = 444,334.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.