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Finding the Third Proportional to 143,178 and 296,265

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Solution

The third proportional to 143,178 and 296,265 is: 613,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,178 : 296,265 = 296,265 : x
  2. Step 2: Convert to fraction form
    143,178/296,265 = 296,265/x
  3. Step 3: Cross multiply
    143,178x = 296,265 × 296,265
  4. Step 4: Simplify right side
    143,178x = 87,772,950,225
  5. Step 5: Solve for x
    x = 87,772,950,225/143,178
  6. Step 6: Final answer
    x = 613,033.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.