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Finding the Third Proportional to 178,063 and 275,344

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Solution

The third proportional to 178,063 and 275,344 is: 425,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,063 : 275,344 = 275,344 : x
  2. Step 2: Convert to fraction form
    178,063/275,344 = 275,344/x
  3. Step 3: Cross multiply
    178,063x = 275,344 × 275,344
  4. Step 4: Simplify right side
    178,063x = 75,814,318,336
  5. Step 5: Solve for x
    x = 75,814,318,336/178,063
  6. Step 6: Final answer
    x = 425,772.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.