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Finding the Third Proportional to 223,797 and 341,539.50

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Solution

The third proportional to 223,797 and 341,539.50 is: 521,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,797 : 341,539.50 = 341,539.50 : x
  2. Step 2: Convert to fraction form
    223,797/341,539.50 = 341,539.50/x
  3. Step 3: Cross multiply
    223,797x = 341,539.50 × 341,539.50
  4. Step 4: Simplify right side
    223,797x = 116,649,230,060.25
  5. Step 5: Solve for x
    x = 116,649,230,060.25/223,797
  6. Step 6: Final answer
    x = 521,227.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.