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Finding the Third Proportional to 186,192 and 401,915.25

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Solution

The third proportional to 186,192 and 401,915.25 is: 867,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,192 : 401,915.25 = 401,915.25 : x
  2. Step 2: Convert to fraction form
    186,192/401,915.25 = 401,915.25/x
  3. Step 3: Cross multiply
    186,192x = 401,915.25 × 401,915.25
  4. Step 4: Simplify right side
    186,192x = 161,535,868,182.56
  5. Step 5: Solve for x
    x = 161,535,868,182.56/186,192
  6. Step 6: Final answer
    x = 867,576.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.