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Finding the Third Proportional to 226,541 and 359,901

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Solution

The third proportional to 226,541 and 359,901 is: 571,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,541 : 359,901 = 359,901 : x
  2. Step 2: Convert to fraction form
    226,541/359,901 = 359,901/x
  3. Step 3: Cross multiply
    226,541x = 359,901 × 359,901
  4. Step 4: Simplify right side
    226,541x = 129,528,729,801
  5. Step 5: Solve for x
    x = 129,528,729,801/226,541
  6. Step 6: Final answer
    x = 571,767.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.