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Finding the Third Proportional to 178,010 and 413,921

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Solution

The third proportional to 178,010 and 413,921 is: 962,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,010 : 413,921 = 413,921 : x
  2. Step 2: Convert to fraction form
    178,010/413,921 = 413,921/x
  3. Step 3: Cross multiply
    178,010x = 413,921 × 413,921
  4. Step 4: Simplify right side
    178,010x = 171,330,594,241
  5. Step 5: Solve for x
    x = 171,330,594,241/178,010
  6. Step 6: Final answer
    x = 962,477.36

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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.