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Finding the Third Proportional to 186,381 and 402,273

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Solution

The third proportional to 186,381 and 402,273 is: 868,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,381 : 402,273 = 402,273 : x
  2. Step 2: Convert to fraction form
    186,381/402,273 = 402,273/x
  3. Step 3: Cross multiply
    186,381x = 402,273 × 402,273
  4. Step 4: Simplify right side
    186,381x = 161,823,566,529
  5. Step 5: Solve for x
    x = 161,823,566,529/186,381
  6. Step 6: Final answer
    x = 868,240.68

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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.