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Finding the Third Proportional to 135,756 and 297,783

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Solution

The third proportional to 135,756 and 297,783 is: 653,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,756 : 297,783 = 297,783 : x
  2. Step 2: Convert to fraction form
    135,756/297,783 = 297,783/x
  3. Step 3: Cross multiply
    135,756x = 297,783 × 297,783
  4. Step 4: Simplify right side
    135,756x = 88,674,715,089
  5. Step 5: Solve for x
    x = 88,674,715,089/135,756
  6. Step 6: Final answer
    x = 653,191.87

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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.