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Finding the Third Proportional to 186,160 and 402,192

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Solution

The third proportional to 186,160 and 402,192 is: 868,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,160 : 402,192 = 402,192 : x
  2. Step 2: Convert to fraction form
    186,160/402,192 = 402,192/x
  3. Step 3: Cross multiply
    186,160x = 402,192 × 402,192
  4. Step 4: Simplify right side
    186,160x = 161,758,404,864
  5. Step 5: Solve for x
    x = 161,758,404,864/186,160
  6. Step 6: Final answer
    x = 868,921.38

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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.