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Finding the Third Proportional to 183,462.50 and 374,701

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Solution

The third proportional to 183,462.50 and 374,701 is: 765,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,462.50 : 374,701 = 374,701 : x
  2. Step 2: Convert to fraction form
    183,462.50/374,701 = 374,701/x
  3. Step 3: Cross multiply
    183,462.50x = 374,701 × 374,701
  4. Step 4: Simplify right side
    183,462.50x = 140,400,839,401
  5. Step 5: Solve for x
    x = 140,400,839,401/183,462.50
  6. Step 6: Final answer
    x = 765,283.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.