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Finding the Third Proportional to 65,951 and 155,529.50

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Solution

The third proportional to 65,951 and 155,529.50 is: 366,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,951 : 155,529.50 = 155,529.50 : x
  2. Step 2: Convert to fraction form
    65,951/155,529.50 = 155,529.50/x
  3. Step 3: Cross multiply
    65,951x = 155,529.50 × 155,529.50
  4. Step 4: Simplify right side
    65,951x = 24,189,425,370.25
  5. Step 5: Solve for x
    x = 24,189,425,370.25/65,951
  6. Step 6: Final answer
    x = 366,778.75

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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.