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Finding the Third Proportional to 181,407 and 281,584.50

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Solution

The third proportional to 181,407 and 281,584.50 is: 437,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,407 : 281,584.50 = 281,584.50 : x
  2. Step 2: Convert to fraction form
    181,407/281,584.50 = 281,584.50/x
  3. Step 3: Cross multiply
    181,407x = 281,584.50 × 281,584.50
  4. Step 4: Simplify right side
    181,407x = 79,289,830,640.25
  5. Step 5: Solve for x
    x = 79,289,830,640.25/181,407
  6. Step 6: Final answer
    x = 437,082.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.