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Finding the Third Proportional to 146,201 and 220,382

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Solution

The third proportional to 146,201 and 220,382 is: 332,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,201 : 220,382 = 220,382 : x
  2. Step 2: Convert to fraction form
    146,201/220,382 = 220,382/x
  3. Step 3: Cross multiply
    146,201x = 220,382 × 220,382
  4. Step 4: Simplify right side
    146,201x = 48,568,225,924
  5. Step 5: Solve for x
    x = 48,568,225,924/146,201
  6. Step 6: Final answer
    x = 332,201.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.