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Finding the Third Proportional to 146,660 and 281,656

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Solution

The third proportional to 146,660 and 281,656 is: 540,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,660 : 281,656 = 281,656 : x
  2. Step 2: Convert to fraction form
    146,660/281,656 = 281,656/x
  3. Step 3: Cross multiply
    146,660x = 281,656 × 281,656
  4. Step 4: Simplify right side
    146,660x = 79,330,102,336
  5. Step 5: Solve for x
    x = 79,330,102,336/146,660
  6. Step 6: Final answer
    x = 540,911.65

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.