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Finding the Third Proportional to 158,365 and 336,161

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Solution

The third proportional to 158,365 and 336,161 is: 713,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,365 : 336,161 = 336,161 : x
  2. Step 2: Convert to fraction form
    158,365/336,161 = 336,161/x
  3. Step 3: Cross multiply
    158,365x = 336,161 × 336,161
  4. Step 4: Simplify right side
    158,365x = 113,004,217,921
  5. Step 5: Solve for x
    x = 113,004,217,921/158,365
  6. Step 6: Final answer
    x = 713,568.14

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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.