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Finding the Third Proportional to 146,670 and 220,329

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Solution

The third proportional to 146,670 and 220,329 is: 330,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,670 : 220,329 = 220,329 : x
  2. Step 2: Convert to fraction form
    146,670/220,329 = 220,329/x
  3. Step 3: Cross multiply
    146,670x = 220,329 × 220,329
  4. Step 4: Simplify right side
    146,670x = 48,544,868,241
  5. Step 5: Solve for x
    x = 48,544,868,241/146,670
  6. Step 6: Final answer
    x = 330,980.22

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