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Finding the Third Proportional to 154,224.50 and 357,003.75

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Solution

The third proportional to 154,224.50 and 357,003.75 is: 826,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,224.50 : 357,003.75 = 357,003.75 : x
  2. Step 2: Convert to fraction form
    154,224.50/357,003.75 = 357,003.75/x
  3. Step 3: Cross multiply
    154,224.50x = 357,003.75 × 357,003.75
  4. Step 4: Simplify right side
    154,224.50x = 127,451,677,514.06
  5. Step 5: Solve for x
    x = 127,451,677,514.06/154,224.50
  6. Step 6: Final answer
    x = 826,403.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.