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Finding the Third Proportional to 178,014 and 275,544

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Solution

The third proportional to 178,014 and 275,544 is: 426,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,014 : 275,544 = 275,544 : x
  2. Step 2: Convert to fraction form
    178,014/275,544 = 275,544/x
  3. Step 3: Cross multiply
    178,014x = 275,544 × 275,544
  4. Step 4: Simplify right side
    178,014x = 75,924,495,936
  5. Step 5: Solve for x
    x = 75,924,495,936/178,014
  6. Step 6: Final answer
    x = 426,508.57

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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.