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Finding the Third Proportional to 146,057 and 221,830

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Solution

The third proportional to 146,057 and 221,830 is: 336,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,057 : 221,830 = 221,830 : x
  2. Step 2: Convert to fraction form
    146,057/221,830 = 221,830/x
  3. Step 3: Cross multiply
    146,057x = 221,830 × 221,830
  4. Step 4: Simplify right side
    146,057x = 49,208,548,900
  5. Step 5: Solve for x
    x = 49,208,548,900/146,057
  6. Step 6: Final answer
    x = 336,913.32

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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.