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Finding the Third Proportional to 237,748.50 and 323,817

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Solution

The third proportional to 237,748.50 and 323,817 is: 441,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,748.50 : 323,817 = 323,817 : x
  2. Step 2: Convert to fraction form
    237,748.50/323,817 = 323,817/x
  3. Step 3: Cross multiply
    237,748.50x = 323,817 × 323,817
  4. Step 4: Simplify right side
    237,748.50x = 104,857,449,489
  5. Step 5: Solve for x
    x = 104,857,449,489/237,748.50
  6. Step 6: Final answer
    x = 441,043.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.