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Finding the Third Proportional to 65,956.50 and 155,539.50

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Solution

The third proportional to 65,956.50 and 155,539.50 is: 366,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,956.50 : 155,539.50 = 155,539.50 : x
  2. Step 2: Convert to fraction form
    65,956.50/155,539.50 = 155,539.50/x
  3. Step 3: Cross multiply
    65,956.50x = 155,539.50 × 155,539.50
  4. Step 4: Simplify right side
    65,956.50x = 24,192,536,060.25
  5. Step 5: Solve for x
    x = 24,192,536,060.25/65,956.50
  6. Step 6: Final answer
    x = 366,795.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.