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Finding the Third Proportional to 141,726.38 and 219,435.75

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Solution

The third proportional to 141,726.38 and 219,435.75 is: 339,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,726.38 : 219,435.75 = 219,435.75 : x
  2. Step 2: Convert to fraction form
    141,726.38/219,435.75 = 219,435.75/x
  3. Step 3: Cross multiply
    141,726.38x = 219,435.75 × 219,435.75
  4. Step 4: Simplify right side
    141,726.38x = 48,152,048,378.06
  5. Step 5: Solve for x
    x = 48,152,048,378.06/141,726.38
  6. Step 6: Final answer
    x = 339,753.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.