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Finding the Third Proportional to 205,175.50 and 463,034.75

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Solution

The third proportional to 205,175.50 and 463,034.75 is: 1,044,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,175.50 : 463,034.75 = 463,034.75 : x
  2. Step 2: Convert to fraction form
    205,175.50/463,034.75 = 463,034.75/x
  3. Step 3: Cross multiply
    205,175.50x = 463,034.75 × 463,034.75
  4. Step 4: Simplify right side
    205,175.50x = 214,401,179,707.56
  5. Step 5: Solve for x
    x = 214,401,179,707.56/205,175.50
  6. Step 6: Final answer
    x = 1,044,964.82

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.