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Finding the Third Proportional to 226,550 and 359,913

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Solution

The third proportional to 226,550 and 359,913 is: 571,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,550 : 359,913 = 359,913 : x
  2. Step 2: Convert to fraction form
    226,550/359,913 = 359,913/x
  3. Step 3: Cross multiply
    226,550x = 359,913 × 359,913
  4. Step 4: Simplify right side
    226,550x = 129,537,367,569
  5. Step 5: Solve for x
    x = 129,537,367,569/226,550
  6. Step 6: Final answer
    x = 571,782.69

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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.