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Finding the Third Proportional to 143,694 and 291,492

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Solution

The third proportional to 143,694 and 291,492 is: 591,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,694 : 291,492 = 291,492 : x
  2. Step 2: Convert to fraction form
    143,694/291,492 = 291,492/x
  3. Step 3: Cross multiply
    143,694x = 291,492 × 291,492
  4. Step 4: Simplify right side
    143,694x = 84,967,586,064
  5. Step 5: Solve for x
    x = 84,967,586,064/143,694
  6. Step 6: Final answer
    x = 591,309.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.