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Finding the Third Proportional to 135,114 and 301,296

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Solution

The third proportional to 135,114 and 301,296 is: 671,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,114 : 301,296 = 301,296 : x
  2. Step 2: Convert to fraction form
    135,114/301,296 = 301,296/x
  3. Step 3: Cross multiply
    135,114x = 301,296 × 301,296
  4. Step 4: Simplify right side
    135,114x = 90,779,279,616
  5. Step 5: Solve for x
    x = 90,779,279,616/135,114
  6. Step 6: Final answer
    x = 671,871.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.