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Finding the Third Proportional to 184,734 and 399,829.50

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Solution

The third proportional to 184,734 and 399,829.50 is: 865,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,734 : 399,829.50 = 399,829.50 : x
  2. Step 2: Convert to fraction form
    184,734/399,829.50 = 399,829.50/x
  3. Step 3: Cross multiply
    184,734x = 399,829.50 × 399,829.50
  4. Step 4: Simplify right side
    184,734x = 159,863,629,070.25
  5. Step 5: Solve for x
    x = 159,863,629,070.25/184,734
  6. Step 6: Final answer
    x = 865,371.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.