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Finding the Third Proportional to 354,147.50 and 534,185.50

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Solution

The third proportional to 354,147.50 and 534,185.50 is: 805,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,147.50 : 534,185.50 = 534,185.50 : x
  2. Step 2: Convert to fraction form
    354,147.50/534,185.50 = 534,185.50/x
  3. Step 3: Cross multiply
    354,147.50x = 534,185.50 × 534,185.50
  4. Step 4: Simplify right side
    354,147.50x = 285,354,148,410.25
  5. Step 5: Solve for x
    x = 285,354,148,410.25/354,147.50
  6. Step 6: Final answer
    x = 805,749.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.