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Finding the Third Proportional to 143,895.50 and 293,500

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Solution

The third proportional to 143,895.50 and 293,500 is: 598,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,895.50 : 293,500 = 293,500 : x
  2. Step 2: Convert to fraction form
    143,895.50/293,500 = 293,500/x
  3. Step 3: Cross multiply
    143,895.50x = 293,500 × 293,500
  4. Step 4: Simplify right side
    143,895.50x = 86,142,250,000
  5. Step 5: Solve for x
    x = 86,142,250,000/143,895.50
  6. Step 6: Final answer
    x = 598,644.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.