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Finding the Third Proportional to 143,878.50 and 293,469

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Solution

The third proportional to 143,878.50 and 293,469 is: 598,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,878.50 : 293,469 = 293,469 : x
  2. Step 2: Convert to fraction form
    143,878.50/293,469 = 293,469/x
  3. Step 3: Cross multiply
    143,878.50x = 293,469 × 293,469
  4. Step 4: Simplify right side
    143,878.50x = 86,124,053,961
  5. Step 5: Solve for x
    x = 86,124,053,961/143,878.50
  6. Step 6: Final answer
    x = 598,588.77

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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.