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Finding the Third Proportional to 226,476 and 311,491.13

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Solution

The third proportional to 226,476 and 311,491.13 is: 428,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,476 : 311,491.13 = 311,491.13 : x
  2. Step 2: Convert to fraction form
    226,476/311,491.13 = 311,491.13/x
  3. Step 3: Cross multiply
    226,476x = 311,491.13 × 311,491.13
  4. Step 4: Simplify right side
    226,476x = 97,026,720,953.77
  5. Step 5: Solve for x
    x = 97,026,720,953.77/226,476
  6. Step 6: Final answer
    x = 428,419.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.