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Finding the Third Proportional to 70,416.50 and 152,977

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Solution

The third proportional to 70,416.50 and 152,977 is: 332,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416.50 : 152,977 = 152,977 : x
  2. Step 2: Convert to fraction form
    70,416.50/152,977 = 152,977/x
  3. Step 3: Cross multiply
    70,416.50x = 152,977 × 152,977
  4. Step 4: Simplify right side
    70,416.50x = 23,401,962,529
  5. Step 5: Solve for x
    x = 23,401,962,529/70,416.50
  6. Step 6: Final answer
    x = 332,336.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.