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Finding the Third Proportional to 135,731 and 295,546

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Solution

The third proportional to 135,731 and 295,546 is: 643,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,731 : 295,546 = 295,546 : x
  2. Step 2: Convert to fraction form
    135,731/295,546 = 295,546/x
  3. Step 3: Cross multiply
    135,731x = 295,546 × 295,546
  4. Step 4: Simplify right side
    135,731x = 87,347,438,116
  5. Step 5: Solve for x
    x = 87,347,438,116/135,731
  6. Step 6: Final answer
    x = 643,533.45

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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.