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Finding the Third Proportional to 135,430 and 291,673

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Solution

The third proportional to 135,430 and 291,673 is: 628,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,430 : 291,673 = 291,673 : x
  2. Step 2: Convert to fraction form
    135,430/291,673 = 291,673/x
  3. Step 3: Cross multiply
    135,430x = 291,673 × 291,673
  4. Step 4: Simplify right side
    135,430x = 85,073,138,929
  5. Step 5: Solve for x
    x = 85,073,138,929/135,430
  6. Step 6: Final answer
    x = 628,170.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.