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Finding the Third Proportional to 152,567 and 221,925

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Solution

The third proportional to 152,567 and 221,925 is: 322,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,567 : 221,925 = 221,925 : x
  2. Step 2: Convert to fraction form
    152,567/221,925 = 221,925/x
  3. Step 3: Cross multiply
    152,567x = 221,925 × 221,925
  4. Step 4: Simplify right side
    152,567x = 49,250,705,625
  5. Step 5: Solve for x
    x = 49,250,705,625/152,567
  6. Step 6: Final answer
    x = 322,813.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.