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Finding the Third Proportional to 205,018.50 and 443,733

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Solution

The third proportional to 205,018.50 and 443,733 is: 960,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,018.50 : 443,733 = 443,733 : x
  2. Step 2: Convert to fraction form
    205,018.50/443,733 = 443,733/x
  3. Step 3: Cross multiply
    205,018.50x = 443,733 × 443,733
  4. Step 4: Simplify right side
    205,018.50x = 196,898,975,289
  5. Step 5: Solve for x
    x = 196,898,975,289/205,018.50
  6. Step 6: Final answer
    x = 960,396.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.