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Finding the Third Proportional to 158,426 and 329,912

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Solution

The third proportional to 158,426 and 329,912 is: 687,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,426 : 329,912 = 329,912 : x
  2. Step 2: Convert to fraction form
    158,426/329,912 = 329,912/x
  3. Step 3: Cross multiply
    158,426x = 329,912 × 329,912
  4. Step 4: Simplify right side
    158,426x = 108,841,927,744
  5. Step 5: Solve for x
    x = 108,841,927,744/158,426
  6. Step 6: Final answer
    x = 687,020.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.