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Finding the Third Proportional to 161,566 and 226,404

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Solution

The third proportional to 161,566 and 226,404 is: 317,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,566 : 226,404 = 226,404 : x
  2. Step 2: Convert to fraction form
    161,566/226,404 = 226,404/x
  3. Step 3: Cross multiply
    161,566x = 226,404 × 226,404
  4. Step 4: Simplify right side
    161,566x = 51,258,771,216
  5. Step 5: Solve for x
    x = 51,258,771,216/161,566
  6. Step 6: Final answer
    x = 317,262.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.