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Finding the Third Proportional to 226,038 and 276,582

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Solution

The third proportional to 226,038 and 276,582 is: 338,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,038 : 276,582 = 276,582 : x
  2. Step 2: Convert to fraction form
    226,038/276,582 = 276,582/x
  3. Step 3: Cross multiply
    226,038x = 276,582 × 276,582
  4. Step 4: Simplify right side
    226,038x = 76,497,602,724
  5. Step 5: Solve for x
    x = 76,497,602,724/226,038
  6. Step 6: Final answer
    x = 338,428.06

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.