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Finding the Third Proportional to 186,612 and 402,696

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Solution

The third proportional to 186,612 and 402,696 is: 868,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,612 : 402,696 = 402,696 : x
  2. Step 2: Convert to fraction form
    186,612/402,696 = 402,696/x
  3. Step 3: Cross multiply
    186,612x = 402,696 × 402,696
  4. Step 4: Simplify right side
    186,612x = 162,164,068,416
  5. Step 5: Solve for x
    x = 162,164,068,416/186,612
  6. Step 6: Final answer
    x = 868,990.57

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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.