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Finding the Third Proportional to 143,706 and 302,298.50

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Solution

The third proportional to 143,706 and 302,298.50 is: 635,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,706 : 302,298.50 = 302,298.50 : x
  2. Step 2: Convert to fraction form
    143,706/302,298.50 = 302,298.50/x
  3. Step 3: Cross multiply
    143,706x = 302,298.50 × 302,298.50
  4. Step 4: Simplify right side
    143,706x = 91,384,383,102.25
  5. Step 5: Solve for x
    x = 91,384,383,102.25/143,706
  6. Step 6: Final answer
    x = 635,912.09

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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.