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Finding the Third Proportional to 140,918 and 295,682

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Solution

The third proportional to 140,918 and 295,682 is: 620,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,918 : 295,682 = 295,682 : x
  2. Step 2: Convert to fraction form
    140,918/295,682 = 295,682/x
  3. Step 3: Cross multiply
    140,918x = 295,682 × 295,682
  4. Step 4: Simplify right side
    140,918x = 87,427,845,124
  5. Step 5: Solve for x
    x = 87,427,845,124/140,918
  6. Step 6: Final answer
    x = 620,416.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.