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Finding the Third Proportional to 186,486 and 402,456

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Solution

The third proportional to 186,486 and 402,456 is: 868,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,486 : 402,456 = 402,456 : x
  2. Step 2: Convert to fraction form
    186,486/402,456 = 402,456/x
  3. Step 3: Cross multiply
    186,486x = 402,456 × 402,456
  4. Step 4: Simplify right side
    186,486x = 161,970,831,936
  5. Step 5: Solve for x
    x = 161,970,831,936/186,486
  6. Step 6: Final answer
    x = 868,541.51

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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.