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Finding the Third Proportional to 116,739 and 227,646

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Solution

The third proportional to 116,739 and 227,646 is: 443,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,739 : 227,646 = 227,646 : x
  2. Step 2: Convert to fraction form
    116,739/227,646 = 227,646/x
  3. Step 3: Cross multiply
    116,739x = 227,646 × 227,646
  4. Step 4: Simplify right side
    116,739x = 51,822,701,316
  5. Step 5: Solve for x
    x = 51,822,701,316/116,739
  6. Step 6: Final answer
    x = 443,919.35

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.