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Finding the Third Proportional to 185,631.75 and 404,595

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Solution

The third proportional to 185,631.75 and 404,595 is: 881,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,631.75 : 404,595 = 404,595 : x
  2. Step 2: Convert to fraction form
    185,631.75/404,595 = 404,595/x
  3. Step 3: Cross multiply
    185,631.75x = 404,595 × 404,595
  4. Step 4: Simplify right side
    185,631.75x = 163,697,114,025
  5. Step 5: Solve for x
    x = 163,697,114,025/185,631.75
  6. Step 6: Final answer
    x = 881,837.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.