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Finding the Third Proportional to 135,024 and 297,696

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Solution

The third proportional to 135,024 and 297,696 is: 656,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,024 : 297,696 = 297,696 : x
  2. Step 2: Convert to fraction form
    135,024/297,696 = 297,696/x
  3. Step 3: Cross multiply
    135,024x = 297,696 × 297,696
  4. Step 4: Simplify right side
    135,024x = 88,622,908,416
  5. Step 5: Solve for x
    x = 88,622,908,416/135,024
  6. Step 6: Final answer
    x = 656,349.30

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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.