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Finding the Third Proportional to 186,256 and 402,272

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Solution

The third proportional to 186,256 and 402,272 is: 868,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,256 : 402,272 = 402,272 : x
  2. Step 2: Convert to fraction form
    186,256/402,272 = 402,272/x
  3. Step 3: Cross multiply
    186,256x = 402,272 × 402,272
  4. Step 4: Simplify right side
    186,256x = 161,822,761,984
  5. Step 5: Solve for x
    x = 161,822,761,984/186,256
  6. Step 6: Final answer
    x = 868,819.06

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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.