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Finding the Third Proportional to 149,643 and 332,502.75

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Solution

The third proportional to 149,643 and 332,502.75 is: 738,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,643 : 332,502.75 = 332,502.75 : x
  2. Step 2: Convert to fraction form
    149,643/332,502.75 = 332,502.75/x
  3. Step 3: Cross multiply
    149,643x = 332,502.75 × 332,502.75
  4. Step 4: Simplify right side
    149,643x = 110,558,078,757.56
  5. Step 5: Solve for x
    x = 110,558,078,757.56/149,643
  6. Step 6: Final answer
    x = 738,812.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.