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Finding the Third Proportional to 223,557.75 and 345,381.75

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Solution

The third proportional to 223,557.75 and 345,381.75 is: 533,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,557.75 : 345,381.75 = 345,381.75 : x
  2. Step 2: Convert to fraction form
    223,557.75/345,381.75 = 345,381.75/x
  3. Step 3: Cross multiply
    223,557.75x = 345,381.75 × 345,381.75
  4. Step 4: Simplify right side
    223,557.75x = 119,288,553,233.06
  5. Step 5: Solve for x
    x = 119,288,553,233.06/223,557.75
  6. Step 6: Final answer
    x = 533,591.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.