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Finding the Third Proportional to 129,931.50 and 279,951

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Solution

The third proportional to 129,931.50 and 279,951 is: 603,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,931.50 : 279,951 = 279,951 : x
  2. Step 2: Convert to fraction form
    129,931.50/279,951 = 279,951/x
  3. Step 3: Cross multiply
    129,931.50x = 279,951 × 279,951
  4. Step 4: Simplify right side
    129,931.50x = 78,372,562,401
  5. Step 5: Solve for x
    x = 78,372,562,401/129,931.50
  6. Step 6: Final answer
    x = 603,183.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.