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Finding the Third Proportional to 135,621 and 295,023

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Solution

The third proportional to 135,621 and 295,023 is: 641,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,621 : 295,023 = 295,023 : x
  2. Step 2: Convert to fraction form
    135,621/295,023 = 295,023/x
  3. Step 3: Cross multiply
    135,621x = 295,023 × 295,023
  4. Step 4: Simplify right side
    135,621x = 87,038,570,529
  5. Step 5: Solve for x
    x = 87,038,570,529/135,621
  6. Step 6: Final answer
    x = 641,777.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.