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Finding the Third Proportional to 236,430 and 354,881

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Solution

The third proportional to 236,430 and 354,881 is: 532,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,430 : 354,881 = 354,881 : x
  2. Step 2: Convert to fraction form
    236,430/354,881 = 354,881/x
  3. Step 3: Cross multiply
    236,430x = 354,881 × 354,881
  4. Step 4: Simplify right side
    236,430x = 125,940,524,161
  5. Step 5: Solve for x
    x = 125,940,524,161/236,430
  6. Step 6: Final answer
    x = 532,675.74

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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.