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Finding the Third Proportional to 131,852 and 290,596

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Solution

The third proportional to 131,852 and 290,596 is: 640,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,852 : 290,596 = 290,596 : x
  2. Step 2: Convert to fraction form
    131,852/290,596 = 290,596/x
  3. Step 3: Cross multiply
    131,852x = 290,596 × 290,596
  4. Step 4: Simplify right side
    131,852x = 84,446,035,216
  5. Step 5: Solve for x
    x = 84,446,035,216/131,852
  6. Step 6: Final answer
    x = 640,460.78

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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.