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Finding the Third Proportional to 158,424 and 337,392

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Solution

The third proportional to 158,424 and 337,392 is: 718,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,424 : 337,392 = 337,392 : x
  2. Step 2: Convert to fraction form
    158,424/337,392 = 337,392/x
  3. Step 3: Cross multiply
    158,424x = 337,392 × 337,392
  4. Step 4: Simplify right side
    158,424x = 113,833,361,664
  5. Step 5: Solve for x
    x = 113,833,361,664/158,424
  6. Step 6: Final answer
    x = 718,536.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.