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Finding the Third Proportional to 114,741 and 248,550

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Solution

The third proportional to 114,741 and 248,550 is: 538,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,741 : 248,550 = 248,550 : x
  2. Step 2: Convert to fraction form
    114,741/248,550 = 248,550/x
  3. Step 3: Cross multiply
    114,741x = 248,550 × 248,550
  4. Step 4: Simplify right side
    114,741x = 61,777,102,500
  5. Step 5: Solve for x
    x = 61,777,102,500/114,741
  6. Step 6: Final answer
    x = 538,404.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.