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Finding the Third Proportional to 183,742 and 393,725

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Solution

The third proportional to 183,742 and 393,725 is: 843,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,742 : 393,725 = 393,725 : x
  2. Step 2: Convert to fraction form
    183,742/393,725 = 393,725/x
  3. Step 3: Cross multiply
    183,742x = 393,725 × 393,725
  4. Step 4: Simplify right side
    183,742x = 155,019,375,625
  5. Step 5: Solve for x
    x = 155,019,375,625/183,742
  6. Step 6: Final answer
    x = 843,679.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.