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Finding the Third Proportional to 186,813 and 256,891.50

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Solution

The third proportional to 186,813 and 256,891.50 is: 353,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,813 : 256,891.50 = 256,891.50 : x
  2. Step 2: Convert to fraction form
    186,813/256,891.50 = 256,891.50/x
  3. Step 3: Cross multiply
    186,813x = 256,891.50 × 256,891.50
  4. Step 4: Simplify right side
    186,813x = 65,993,242,772.25
  5. Step 5: Solve for x
    x = 65,993,242,772.25/186,813
  6. Step 6: Final answer
    x = 353,258.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.