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Finding the Third Proportional to 186,312 and 404,131

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Solution

The third proportional to 186,312 and 404,131 is: 876,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,312 : 404,131 = 404,131 : x
  2. Step 2: Convert to fraction form
    186,312/404,131 = 404,131/x
  3. Step 3: Cross multiply
    186,312x = 404,131 × 404,131
  4. Step 4: Simplify right side
    186,312x = 163,321,865,161
  5. Step 5: Solve for x
    x = 163,321,865,161/186,312
  6. Step 6: Final answer
    x = 876,604.11

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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.