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Finding the Third Proportional to 186,268 and 402,056

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Solution

The third proportional to 186,268 and 402,056 is: 867,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,268 : 402,056 = 402,056 : x
  2. Step 2: Convert to fraction form
    186,268/402,056 = 402,056/x
  3. Step 3: Cross multiply
    186,268x = 402,056 × 402,056
  4. Step 4: Simplify right side
    186,268x = 161,649,027,136
  5. Step 5: Solve for x
    x = 161,649,027,136/186,268
  6. Step 6: Final answer
    x = 867,830.37

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Why These Related Problems?

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