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Finding the Third Proportional to 158,926 and 336,806

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Solution

The third proportional to 158,926 and 336,806 is: 713,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,926 : 336,806 = 336,806 : x
  2. Step 2: Convert to fraction form
    158,926/336,806 = 336,806/x
  3. Step 3: Cross multiply
    158,926x = 336,806 × 336,806
  4. Step 4: Simplify right side
    158,926x = 113,438,281,636
  5. Step 5: Solve for x
    x = 113,438,281,636/158,926
  6. Step 6: Final answer
    x = 713,780.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.