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Finding the Third Proportional to 122,331.50 and 259,364

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Solution

The third proportional to 122,331.50 and 259,364 is: 549,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,331.50 : 259,364 = 259,364 : x
  2. Step 2: Convert to fraction form
    122,331.50/259,364 = 259,364/x
  3. Step 3: Cross multiply
    122,331.50x = 259,364 × 259,364
  4. Step 4: Simplify right side
    122,331.50x = 67,269,684,496
  5. Step 5: Solve for x
    x = 67,269,684,496/122,331.50
  6. Step 6: Final answer
    x = 549,896.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.