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Finding the Third Proportional to 134,533 and 295,305

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Solution

The third proportional to 134,533 and 295,305 is: 648,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,533 : 295,305 = 295,305 : x
  2. Step 2: Convert to fraction form
    134,533/295,305 = 295,305/x
  3. Step 3: Cross multiply
    134,533x = 295,305 × 295,305
  4. Step 4: Simplify right side
    134,533x = 87,205,043,025
  5. Step 5: Solve for x
    x = 87,205,043,025/134,533
  6. Step 6: Final answer
    x = 648,205.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.