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Finding the Third Proportional to 208,049 and 304,668

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Solution

The third proportional to 208,049 and 304,668 is: 446,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,049 : 304,668 = 304,668 : x
  2. Step 2: Convert to fraction form
    208,049/304,668 = 304,668/x
  3. Step 3: Cross multiply
    208,049x = 304,668 × 304,668
  4. Step 4: Simplify right side
    208,049x = 92,822,590,224
  5. Step 5: Solve for x
    x = 92,822,590,224/208,049
  6. Step 6: Final answer
    x = 446,157.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.