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Finding the Third Proportional to 164,922.75 and 250,516.13

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Solution

The third proportional to 164,922.75 and 250,516.13 is: 380,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,922.75 : 250,516.13 = 250,516.13 : x
  2. Step 2: Convert to fraction form
    164,922.75/250,516.13 = 250,516.13/x
  3. Step 3: Cross multiply
    164,922.75x = 250,516.13 × 250,516.13
  4. Step 4: Simplify right side
    164,922.75x = 62,758,328,885.02
  5. Step 5: Solve for x
    x = 62,758,328,885.02/164,922.75
  6. Step 6: Final answer
    x = 380,531.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.