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Finding the Third Proportional to 186,822 and 400,855.50

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Solution

The third proportional to 186,822 and 400,855.50 is: 860,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,822 : 400,855.50 = 400,855.50 : x
  2. Step 2: Convert to fraction form
    186,822/400,855.50 = 400,855.50/x
  3. Step 3: Cross multiply
    186,822x = 400,855.50 × 400,855.50
  4. Step 4: Simplify right side
    186,822x = 160,685,131,880.25
  5. Step 5: Solve for x
    x = 160,685,131,880.25/186,822
  6. Step 6: Final answer
    x = 860,097.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.