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Finding the Third Proportional to 165,730.50 and 362,808

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Solution

The third proportional to 165,730.50 and 362,808 is: 794,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,730.50 : 362,808 = 362,808 : x
  2. Step 2: Convert to fraction form
    165,730.50/362,808 = 362,808/x
  3. Step 3: Cross multiply
    165,730.50x = 362,808 × 362,808
  4. Step 4: Simplify right side
    165,730.50x = 131,629,644,864
  5. Step 5: Solve for x
    x = 131,629,644,864/165,730.50
  6. Step 6: Final answer
    x = 794,239.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.