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Finding the Third Proportional to 135,338.50 and 297,677

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Solution

The third proportional to 135,338.50 and 297,677 is: 654,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,338.50 : 297,677 = 297,677 : x
  2. Step 2: Convert to fraction form
    135,338.50/297,677 = 297,677/x
  3. Step 3: Cross multiply
    135,338.50x = 297,677 × 297,677
  4. Step 4: Simplify right side
    135,338.50x = 88,611,596,329
  5. Step 5: Solve for x
    x = 88,611,596,329/135,338.50
  6. Step 6: Final answer
    x = 654,740.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.