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Finding the Third Proportional to 236,380.50 and 354,812.63

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Solution

The third proportional to 236,380.50 and 354,812.63 is: 532,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,380.50 : 354,812.63 = 354,812.63 : x
  2. Step 2: Convert to fraction form
    236,380.50/354,812.63 = 354,812.63/x
  3. Step 3: Cross multiply
    236,380.50x = 354,812.63 × 354,812.63
  4. Step 4: Simplify right side
    236,380.50x = 125,891,998,859.39
  5. Step 5: Solve for x
    x = 125,891,998,859.39/236,380.50
  6. Step 6: Final answer
    x = 532,582.00

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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.