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Finding the Third Proportional to 150,599.25 and 242,181

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Solution

The third proportional to 150,599.25 and 242,181 is: 389,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,599.25 : 242,181 = 242,181 : x
  2. Step 2: Convert to fraction form
    150,599.25/242,181 = 242,181/x
  3. Step 3: Cross multiply
    150,599.25x = 242,181 × 242,181
  4. Step 4: Simplify right side
    150,599.25x = 58,651,636,761
  5. Step 5: Solve for x
    x = 58,651,636,761/150,599.25
  6. Step 6: Final answer
    x = 389,455.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.