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Finding the Third Proportional to 180,641 and 397,035

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Solution

The third proportional to 180,641 and 397,035 is: 872,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,641 : 397,035 = 397,035 : x
  2. Step 2: Convert to fraction form
    180,641/397,035 = 397,035/x
  3. Step 3: Cross multiply
    180,641x = 397,035 × 397,035
  4. Step 4: Simplify right side
    180,641x = 157,636,791,225
  5. Step 5: Solve for x
    x = 157,636,791,225/180,641
  6. Step 6: Final answer
    x = 872,652.34

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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.