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Finding the Third Proportional to 236,605 and 354,543

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Solution

The third proportional to 236,605 and 354,543 is: 531,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,605 : 354,543 = 354,543 : x
  2. Step 2: Convert to fraction form
    236,605/354,543 = 354,543/x
  3. Step 3: Cross multiply
    236,605x = 354,543 × 354,543
  4. Step 4: Simplify right side
    236,605x = 125,700,738,849
  5. Step 5: Solve for x
    x = 125,700,738,849/236,605
  6. Step 6: Final answer
    x = 531,268.31

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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.