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Finding the Third Proportional to 194,643 and 332,322.75

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Solution

The third proportional to 194,643 and 332,322.75 is: 567,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,643 : 332,322.75 = 332,322.75 : x
  2. Step 2: Convert to fraction form
    194,643/332,322.75 = 332,322.75/x
  3. Step 3: Cross multiply
    194,643x = 332,322.75 × 332,322.75
  4. Step 4: Simplify right side
    194,643x = 110,438,410,167.56
  5. Step 5: Solve for x
    x = 110,438,410,167.56/194,643
  6. Step 6: Final answer
    x = 567,389.58

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.