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Finding the Third Proportional to 135,051 and 296,022

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Solution

The third proportional to 135,051 and 296,022 is: 648,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,051 : 296,022 = 296,022 : x
  2. Step 2: Convert to fraction form
    135,051/296,022 = 296,022/x
  3. Step 3: Cross multiply
    135,051x = 296,022 × 296,022
  4. Step 4: Simplify right side
    135,051x = 87,629,024,484
  5. Step 5: Solve for x
    x = 87,629,024,484/135,051
  6. Step 6: Final answer
    x = 648,858.76

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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.