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Finding the Third Proportional to 146,732 and 233,230

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Solution

The third proportional to 146,732 and 233,230 is: 370,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,732 : 233,230 = 233,230 : x
  2. Step 2: Convert to fraction form
    146,732/233,230 = 233,230/x
  3. Step 3: Cross multiply
    146,732x = 233,230 × 233,230
  4. Step 4: Simplify right side
    146,732x = 54,396,232,900
  5. Step 5: Solve for x
    x = 54,396,232,900/146,732
  6. Step 6: Final answer
    x = 370,718.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.