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Finding the Third Proportional to 178,541 and 236,950

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Solution

The third proportional to 178,541 and 236,950 is: 314,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,541 : 236,950 = 236,950 : x
  2. Step 2: Convert to fraction form
    178,541/236,950 = 236,950/x
  3. Step 3: Cross multiply
    178,541x = 236,950 × 236,950
  4. Step 4: Simplify right side
    178,541x = 56,145,302,500
  5. Step 5: Solve for x
    x = 56,145,302,500/178,541
  6. Step 6: Final answer
    x = 314,467.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.