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Finding the Third Proportional to 176,032 and 386,912

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Solution

The third proportional to 176,032 and 386,912 is: 850,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,032 : 386,912 = 386,912 : x
  2. Step 2: Convert to fraction form
    176,032/386,912 = 386,912/x
  3. Step 3: Cross multiply
    176,032x = 386,912 × 386,912
  4. Step 4: Simplify right side
    176,032x = 149,700,895,744
  5. Step 5: Solve for x
    x = 149,700,895,744/176,032
  6. Step 6: Final answer
    x = 850,418.65

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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.