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Finding the Third Proportional to 131,954 and 293,350

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Solution

The third proportional to 131,954 and 293,350 is: 652,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,954 : 293,350 = 293,350 : x
  2. Step 2: Convert to fraction form
    131,954/293,350 = 293,350/x
  3. Step 3: Cross multiply
    131,954x = 293,350 × 293,350
  4. Step 4: Simplify right side
    131,954x = 86,054,222,500
  5. Step 5: Solve for x
    x = 86,054,222,500/131,954
  6. Step 6: Final answer
    x = 652,153.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.