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Finding the Third Proportional to 151,234.50 and 223,401.75

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Solution

The third proportional to 151,234.50 and 223,401.75 is: 330,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,234.50 : 223,401.75 = 223,401.75 : x
  2. Step 2: Convert to fraction form
    151,234.50/223,401.75 = 223,401.75/x
  3. Step 3: Cross multiply
    151,234.50x = 223,401.75 × 223,401.75
  4. Step 4: Simplify right side
    151,234.50x = 49,908,341,903.06
  5. Step 5: Solve for x
    x = 49,908,341,903.06/151,234.50
  6. Step 6: Final answer
    x = 330,006.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.