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Finding the Third Proportional to 236,609 and 354,549

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Solution

The third proportional to 236,609 and 354,549 is: 531,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,609 : 354,549 = 354,549 : x
  2. Step 2: Convert to fraction form
    236,609/354,549 = 354,549/x
  3. Step 3: Cross multiply
    236,609x = 354,549 × 354,549
  4. Step 4: Simplify right side
    236,609x = 125,704,993,401
  5. Step 5: Solve for x
    x = 125,704,993,401/236,609
  6. Step 6: Final answer
    x = 531,277.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.