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Finding the Third Proportional to 207,130 and 443,768

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Solution

The third proportional to 207,130 and 443,768 is: 950,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,130 : 443,768 = 443,768 : x
  2. Step 2: Convert to fraction form
    207,130/443,768 = 443,768/x
  3. Step 3: Cross multiply
    207,130x = 443,768 × 443,768
  4. Step 4: Simplify right side
    207,130x = 196,930,037,824
  5. Step 5: Solve for x
    x = 196,930,037,824/207,130
  6. Step 6: Final answer
    x = 950,755.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.