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Finding the Third Proportional to 178,553 and 371,901

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Solution

The third proportional to 178,553 and 371,901 is: 774,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,553 : 371,901 = 371,901 : x
  2. Step 2: Convert to fraction form
    178,553/371,901 = 371,901/x
  3. Step 3: Cross multiply
    178,553x = 371,901 × 371,901
  4. Step 4: Simplify right side
    178,553x = 138,310,353,801
  5. Step 5: Solve for x
    x = 138,310,353,801/178,553
  6. Step 6: Final answer
    x = 774,617.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.