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Finding the Third Proportional to 146,056 and 221,816

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Solution

The third proportional to 146,056 and 221,816 is: 336,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,056 : 221,816 = 221,816 : x
  2. Step 2: Convert to fraction form
    146,056/221,816 = 221,816/x
  3. Step 3: Cross multiply
    146,056x = 221,816 × 221,816
  4. Step 4: Simplify right side
    146,056x = 49,202,337,856
  5. Step 5: Solve for x
    x = 49,202,337,856/146,056
  6. Step 6: Final answer
    x = 336,873.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.