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Finding the Third Proportional to 143,871 and 293,454

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Solution

The third proportional to 143,871 and 293,454 is: 598,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,871 : 293,454 = 293,454 : x
  2. Step 2: Convert to fraction form
    143,871/293,454 = 293,454/x
  3. Step 3: Cross multiply
    143,871x = 293,454 × 293,454
  4. Step 4: Simplify right side
    143,871x = 86,115,250,116
  5. Step 5: Solve for x
    x = 86,115,250,116/143,871
  6. Step 6: Final answer
    x = 598,558.78

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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.