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Finding the Third Proportional to 180,848 and 392,831

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Solution

The third proportional to 180,848 and 392,831 is: 853,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,848 : 392,831 = 392,831 : x
  2. Step 2: Convert to fraction form
    180,848/392,831 = 392,831/x
  3. Step 3: Cross multiply
    180,848x = 392,831 × 392,831
  4. Step 4: Simplify right side
    180,848x = 154,316,194,561
  5. Step 5: Solve for x
    x = 154,316,194,561/180,848
  6. Step 6: Final answer
    x = 853,292.24

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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.