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Finding the Third Proportional to 181,359 and 257,863.50

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Solution

The third proportional to 181,359 and 257,863.50 is: 366,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,359 : 257,863.50 = 257,863.50 : x
  2. Step 2: Convert to fraction form
    181,359/257,863.50 = 257,863.50/x
  3. Step 3: Cross multiply
    181,359x = 257,863.50 × 257,863.50
  4. Step 4: Simplify right side
    181,359x = 66,493,584,632.25
  5. Step 5: Solve for x
    x = 66,493,584,632.25/181,359
  6. Step 6: Final answer
    x = 366,640.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.