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Finding the Third Proportional to 143,731.75 and 302,358.75

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Solution

The third proportional to 143,731.75 and 302,358.75 is: 636,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,731.75 : 302,358.75 = 302,358.75 : x
  2. Step 2: Convert to fraction form
    143,731.75/302,358.75 = 302,358.75/x
  3. Step 3: Cross multiply
    143,731.75x = 302,358.75 × 302,358.75
  4. Step 4: Simplify right side
    143,731.75x = 91,420,813,701.56
  5. Step 5: Solve for x
    x = 91,420,813,701.56/143,731.75
  6. Step 6: Final answer
    x = 636,051.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.