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Finding the Third Proportional to 141,853.50 and 219,633.75

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Solution

The third proportional to 141,853.50 and 219,633.75 is: 340,061.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,853.50 : 219,633.75 = 219,633.75 : x
  2. Step 2: Convert to fraction form
    141,853.50/219,633.75 = 219,633.75/x
  3. Step 3: Cross multiply
    141,853.50x = 219,633.75 × 219,633.75
  4. Step 4: Simplify right side
    141,853.50x = 48,238,984,139.06
  5. Step 5: Solve for x
    x = 48,238,984,139.06/141,853.50
  6. Step 6: Final answer
    x = 340,061.99

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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.