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Finding the Third Proportional to 146,772 and 243,729

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Solution

The third proportional to 146,772 and 243,729 is: 404,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,772 : 243,729 = 243,729 : x
  2. Step 2: Convert to fraction form
    146,772/243,729 = 243,729/x
  3. Step 3: Cross multiply
    146,772x = 243,729 × 243,729
  4. Step 4: Simplify right side
    146,772x = 59,403,825,441
  5. Step 5: Solve for x
    x = 59,403,825,441/146,772
  6. Step 6: Final answer
    x = 404,735.41

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.