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Finding the Third Proportional to 183,522 and 241,857

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Solution

The third proportional to 183,522 and 241,857 is: 318,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,522 : 241,857 = 241,857 : x
  2. Step 2: Convert to fraction form
    183,522/241,857 = 241,857/x
  3. Step 3: Cross multiply
    183,522x = 241,857 × 241,857
  4. Step 4: Simplify right side
    183,522x = 58,494,808,449
  5. Step 5: Solve for x
    x = 58,494,808,449/183,522
  6. Step 6: Final answer
    x = 318,734.58

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.