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Finding the Third Proportional to 178,369 and 269,066

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Solution

The third proportional to 178,369 and 269,066 is: 405,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,369 : 269,066 = 269,066 : x
  2. Step 2: Convert to fraction form
    178,369/269,066 = 269,066/x
  3. Step 3: Cross multiply
    178,369x = 269,066 × 269,066
  4. Step 4: Simplify right side
    178,369x = 72,396,512,356
  5. Step 5: Solve for x
    x = 72,396,512,356/178,369
  6. Step 6: Final answer
    x = 405,880.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.