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Finding the Third Proportional to 186,987 and 400,203

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Solution

The third proportional to 186,987 and 400,203 is: 856,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,987 : 400,203 = 400,203 : x
  2. Step 2: Convert to fraction form
    186,987/400,203 = 400,203/x
  3. Step 3: Cross multiply
    186,987x = 400,203 × 400,203
  4. Step 4: Simplify right side
    186,987x = 160,162,441,209
  5. Step 5: Solve for x
    x = 160,162,441,209/186,987
  6. Step 6: Final answer
    x = 856,543.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.