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Finding the Third Proportional to 186,200 and 401,928

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Solution

The third proportional to 186,200 and 401,928 is: 867,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,200 : 401,928 = 401,928 : x
  2. Step 2: Convert to fraction form
    186,200/401,928 = 401,928/x
  3. Step 3: Cross multiply
    186,200x = 401,928 × 401,928
  4. Step 4: Simplify right side
    186,200x = 161,546,117,184
  5. Step 5: Solve for x
    x = 161,546,117,184/186,200
  6. Step 6: Final answer
    x = 867,594.61

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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.