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Finding the Third Proportional to 171,949.50 and 404,590

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Solution

The third proportional to 171,949.50 and 404,590 is: 951,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,949.50 : 404,590 = 404,590 : x
  2. Step 2: Convert to fraction form
    171,949.50/404,590 = 404,590/x
  3. Step 3: Cross multiply
    171,949.50x = 404,590 × 404,590
  4. Step 4: Simplify right side
    171,949.50x = 163,693,068,100
  5. Step 5: Solve for x
    x = 163,693,068,100/171,949.50
  6. Step 6: Final answer
    x = 951,983.39

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.