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Finding the Third Proportional to 135,855.50 and 297,955

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Solution

The third proportional to 135,855.50 and 297,955 is: 653,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,855.50 : 297,955 = 297,955 : x
  2. Step 2: Convert to fraction form
    135,855.50/297,955 = 297,955/x
  3. Step 3: Cross multiply
    135,855.50x = 297,955 × 297,955
  4. Step 4: Simplify right side
    135,855.50x = 88,777,182,025
  5. Step 5: Solve for x
    x = 88,777,182,025/135,855.50
  6. Step 6: Final answer
    x = 653,467.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.