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Finding the Third Proportional to 146,970 and 220,653

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Solution

The third proportional to 146,970 and 220,653 is: 331,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,970 : 220,653 = 220,653 : x
  2. Step 2: Convert to fraction form
    146,970/220,653 = 220,653/x
  3. Step 3: Cross multiply
    146,970x = 220,653 × 220,653
  4. Step 4: Simplify right side
    146,970x = 48,687,746,409
  5. Step 5: Solve for x
    x = 48,687,746,409/146,970
  6. Step 6: Final answer
    x = 331,276.77

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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.