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Finding the Third Proportional to 134,845 and 295,610

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Solution

The third proportional to 134,845 and 295,610 is: 648,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,845 : 295,610 = 295,610 : x
  2. Step 2: Convert to fraction form
    134,845/295,610 = 295,610/x
  3. Step 3: Cross multiply
    134,845x = 295,610 × 295,610
  4. Step 4: Simplify right side
    134,845x = 87,385,272,100
  5. Step 5: Solve for x
    x = 87,385,272,100/134,845
  6. Step 6: Final answer
    x = 648,042.36

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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.