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Finding the Third Proportional to 186,810 and 405,034.50

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Solution

The third proportional to 186,810 and 405,034.50 is: 878,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,810 : 405,034.50 = 405,034.50 : x
  2. Step 2: Convert to fraction form
    186,810/405,034.50 = 405,034.50/x
  3. Step 3: Cross multiply
    186,810x = 405,034.50 × 405,034.50
  4. Step 4: Simplify right side
    186,810x = 164,052,946,190.25
  5. Step 5: Solve for x
    x = 164,052,946,190.25/186,810
  6. Step 6: Final answer
    x = 878,180.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.