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Finding the Third Proportional to 146,569.50 and 220,203

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Solution

The third proportional to 146,569.50 and 220,203 is: 330,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,569.50 : 220,203 = 220,203 : x
  2. Step 2: Convert to fraction form
    146,569.50/220,203 = 220,203/x
  3. Step 3: Cross multiply
    146,569.50x = 220,203 × 220,203
  4. Step 4: Simplify right side
    146,569.50x = 48,489,361,209
  5. Step 5: Solve for x
    x = 48,489,361,209/146,569.50
  6. Step 6: Final answer
    x = 330,828.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.