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Finding the Third Proportional to 146,516 and 220,164

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Solution

The third proportional to 146,516 and 220,164 is: 330,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,516 : 220,164 = 220,164 : x
  2. Step 2: Convert to fraction form
    146,516/220,164 = 220,164/x
  3. Step 3: Cross multiply
    146,516x = 220,164 × 220,164
  4. Step 4: Simplify right side
    146,516x = 48,472,186,896
  5. Step 5: Solve for x
    x = 48,472,186,896/146,516
  6. Step 6: Final answer
    x = 330,832.04

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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.