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Finding the Third Proportional to 137,850 and 298,296

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Solution

The third proportional to 137,850 and 298,296 is: 645,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,850 : 298,296 = 298,296 : x
  2. Step 2: Convert to fraction form
    137,850/298,296 = 298,296/x
  3. Step 3: Cross multiply
    137,850x = 298,296 × 298,296
  4. Step 4: Simplify right side
    137,850x = 88,980,503,616
  5. Step 5: Solve for x
    x = 88,980,503,616/137,850
  6. Step 6: Final answer
    x = 645,487.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.