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Finding the Third Proportional to 144,240.09 and 313,878.75

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Solution

The third proportional to 144,240.09 and 313,878.75 is: 683,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,240.09 : 313,878.75 = 313,878.75 : x
  2. Step 2: Convert to fraction form
    144,240.09/313,878.75 = 313,878.75/x
  3. Step 3: Cross multiply
    144,240.09x = 313,878.75 × 313,878.75
  4. Step 4: Simplify right side
    144,240.09x = 98,519,869,701.56
  5. Step 5: Solve for x
    x = 98,519,869,701.56/144,240.09
  6. Step 6: Final answer
    x = 683,026.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.