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Finding the Third Proportional to 180,873 and 392,875

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Solution

The third proportional to 180,873 and 392,875 is: 853,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,873 : 392,875 = 392,875 : x
  2. Step 2: Convert to fraction form
    180,873/392,875 = 392,875/x
  3. Step 3: Cross multiply
    180,873x = 392,875 × 392,875
  4. Step 4: Simplify right side
    180,873x = 154,350,765,625
  5. Step 5: Solve for x
    x = 154,350,765,625/180,873
  6. Step 6: Final answer
    x = 853,365.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.