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Finding the Third Proportional to 167,944 and 362,951

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Solution

The third proportional to 167,944 and 362,951 is: 784,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,944 : 362,951 = 362,951 : x
  2. Step 2: Convert to fraction form
    167,944/362,951 = 362,951/x
  3. Step 3: Cross multiply
    167,944x = 362,951 × 362,951
  4. Step 4: Simplify right side
    167,944x = 131,733,428,401
  5. Step 5: Solve for x
    x = 131,733,428,401/167,944
  6. Step 6: Final answer
    x = 784,389.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.