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Finding the Third Proportional to 178,008 and 413,916

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Solution

The third proportional to 178,008 and 413,916 is: 962,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,008 : 413,916 = 413,916 : x
  2. Step 2: Convert to fraction form
    178,008/413,916 = 413,916/x
  3. Step 3: Cross multiply
    178,008x = 413,916 × 413,916
  4. Step 4: Simplify right side
    178,008x = 171,326,455,056
  5. Step 5: Solve for x
    x = 171,326,455,056/178,008
  6. Step 6: Final answer
    x = 962,464.92

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.