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Finding the Third Proportional to 143,731.25 and 302,357.75

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Solution

The third proportional to 143,731.25 and 302,357.75 is: 636,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,731.25 : 302,357.75 = 302,357.75 : x
  2. Step 2: Convert to fraction form
    143,731.25/302,357.75 = 302,357.75/x
  3. Step 3: Cross multiply
    143,731.25x = 302,357.75 × 302,357.75
  4. Step 4: Simplify right side
    143,731.25x = 91,420,208,985.06
  5. Step 5: Solve for x
    x = 91,420,208,985.06/143,731.25
  6. Step 6: Final answer
    x = 636,049.63

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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.