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Finding the Third Proportional to 186,942 and 400,128

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Solution

The third proportional to 186,942 and 400,128 is: 856,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,942 : 400,128 = 400,128 : x
  2. Step 2: Convert to fraction form
    186,942/400,128 = 400,128/x
  3. Step 3: Cross multiply
    186,942x = 400,128 × 400,128
  4. Step 4: Simplify right side
    186,942x = 160,102,416,384
  5. Step 5: Solve for x
    x = 160,102,416,384/186,942
  6. Step 6: Final answer
    x = 856,428.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.