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Finding the Third Proportional to 194,177.81 and 262,346.34

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Solution

The third proportional to 194,177.81 and 262,346.34 is: 354,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,177.81 : 262,346.34 = 262,346.34 : x
  2. Step 2: Convert to fraction form
    194,177.81/262,346.34 = 262,346.34/x
  3. Step 3: Cross multiply
    194,177.81x = 262,346.34 × 262,346.34
  4. Step 4: Simplify right side
    194,177.81x = 68,825,604,078.99
  5. Step 5: Solve for x
    x = 68,825,604,078.99/194,177.81
  6. Step 6: Final answer
    x = 354,446.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.