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Finding the Third Proportional to 146,016 and 211,004

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Solution

The third proportional to 146,016 and 211,004 is: 304,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,016 : 211,004 = 211,004 : x
  2. Step 2: Convert to fraction form
    146,016/211,004 = 211,004/x
  3. Step 3: Cross multiply
    146,016x = 211,004 × 211,004
  4. Step 4: Simplify right side
    146,016x = 44,522,688,016
  5. Step 5: Solve for x
    x = 44,522,688,016/146,016
  6. Step 6: Final answer
    x = 304,916.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.