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Finding the Third Proportional to 186,527.18 and 397,453.08

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Solution

The third proportional to 186,527.18 and 397,453.08 is: 846,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,527.18 : 397,453.08 = 397,453.08 : x
  2. Step 2: Convert to fraction form
    186,527.18/397,453.08 = 397,453.08/x
  3. Step 3: Cross multiply
    186,527.18x = 397,453.08 × 397,453.08
  4. Step 4: Simplify right side
    186,527.18x = 157,968,949,311.04
  5. Step 5: Solve for x
    x = 157,968,949,311.04/186,527.18
  6. Step 6: Final answer
    x = 846,895.07

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.