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Finding the Third Proportional to 186,203 and 404,806

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Solution

The third proportional to 186,203 and 404,806 is: 880,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,203 : 404,806 = 404,806 : x
  2. Step 2: Convert to fraction form
    186,203/404,806 = 404,806/x
  3. Step 3: Cross multiply
    186,203x = 404,806 × 404,806
  4. Step 4: Simplify right side
    186,203x = 163,867,897,636
  5. Step 5: Solve for x
    x = 163,867,897,636/186,203
  6. Step 6: Final answer
    x = 880,049.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.