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Finding the Third Proportional to 208,988 and 298,740

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Solution

The third proportional to 208,988 and 298,740 is: 427,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,988 : 298,740 = 298,740 : x
  2. Step 2: Convert to fraction form
    208,988/298,740 = 298,740/x
  3. Step 3: Cross multiply
    208,988x = 298,740 × 298,740
  4. Step 4: Simplify right side
    208,988x = 89,245,587,600
  5. Step 5: Solve for x
    x = 89,245,587,600/208,988
  6. Step 6: Final answer
    x = 427,036.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.