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Finding the Third Proportional to 183,522.50 and 404,296

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Solution

The third proportional to 183,522.50 and 404,296 is: 890,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,522.50 : 404,296 = 404,296 : x
  2. Step 2: Convert to fraction form
    183,522.50/404,296 = 404,296/x
  3. Step 3: Cross multiply
    183,522.50x = 404,296 × 404,296
  4. Step 4: Simplify right side
    183,522.50x = 163,455,255,616
  5. Step 5: Solve for x
    x = 163,455,255,616/183,522.50
  6. Step 6: Final answer
    x = 890,655.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.