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Finding the Third Proportional to 186,210 and 401,940

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Solution

The third proportional to 186,210 and 401,940 is: 867,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,210 : 401,940 = 401,940 : x
  2. Step 2: Convert to fraction form
    186,210/401,940 = 401,940/x
  3. Step 3: Cross multiply
    186,210x = 401,940 × 401,940
  4. Step 4: Simplify right side
    186,210x = 161,555,763,600
  5. Step 5: Solve for x
    x = 161,555,763,600/186,210
  6. Step 6: Final answer
    x = 867,599.83

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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.