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Finding the Third Proportional to 144,919.13 and 313,950.94

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Solution

The third proportional to 144,919.13 and 313,950.94 is: 680,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,919.13 : 313,950.94 = 313,950.94 : x
  2. Step 2: Convert to fraction form
    144,919.13/313,950.94 = 313,950.94/x
  3. Step 3: Cross multiply
    144,919.13x = 313,950.94 × 313,950.94
  4. Step 4: Simplify right side
    144,919.13x = 98,565,191,157.13
  5. Step 5: Solve for x
    x = 98,565,191,157.13/144,919.13
  6. Step 6: Final answer
    x = 680,139.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.