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Finding the Third Proportional to 178,504 and 386,396

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Solution

The third proportional to 178,504 and 386,396 is: 836,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,504 : 386,396 = 386,396 : x
  2. Step 2: Convert to fraction form
    178,504/386,396 = 386,396/x
  3. Step 3: Cross multiply
    178,504x = 386,396 × 386,396
  4. Step 4: Simplify right side
    178,504x = 149,301,868,816
  5. Step 5: Solve for x
    x = 149,301,868,816/178,504
  6. Step 6: Final answer
    x = 836,406.29

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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.