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Finding the Third Proportional to 180,903.38 and 397,892.25

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Solution

The third proportional to 180,903.38 and 397,892.25 is: 875,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,903.38 : 397,892.25 = 397,892.25 : x
  2. Step 2: Convert to fraction form
    180,903.38/397,892.25 = 397,892.25/x
  3. Step 3: Cross multiply
    180,903.38x = 397,892.25 × 397,892.25
  4. Step 4: Simplify right side
    180,903.38x = 158,318,242,610.06
  5. Step 5: Solve for x
    x = 158,318,242,610.06/180,903.38
  6. Step 6: Final answer
    x = 875,153.62

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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.