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Finding the Third Proportional to 145,119.38 and 219,870

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Solution

The third proportional to 145,119.38 and 219,870 is: 333,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,119.38 : 219,870 = 219,870 : x
  2. Step 2: Convert to fraction form
    145,119.38/219,870 = 219,870/x
  3. Step 3: Cross multiply
    145,119.38x = 219,870 × 219,870
  4. Step 4: Simplify right side
    145,119.38x = 48,342,816,900
  5. Step 5: Solve for x
    x = 48,342,816,900/145,119.38
  6. Step 6: Final answer
    x = 333,124.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.