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Finding the Third Proportional to 208,648.50 and 434,946

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Solution

The third proportional to 208,648.50 and 434,946 is: 906,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,648.50 : 434,946 = 434,946 : x
  2. Step 2: Convert to fraction form
    208,648.50/434,946 = 434,946/x
  3. Step 3: Cross multiply
    208,648.50x = 434,946 × 434,946
  4. Step 4: Simplify right side
    208,648.50x = 189,178,022,916
  5. Step 5: Solve for x
    x = 189,178,022,916/208,648.50
  6. Step 6: Final answer
    x = 906,682.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.