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Finding the Third Proportional to 149,653 and 332,521.13

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Solution

The third proportional to 149,653 and 332,521.13 is: 738,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,653 : 332,521.13 = 332,521.13 : x
  2. Step 2: Convert to fraction form
    149,653/332,521.13 = 332,521.13/x
  3. Step 3: Cross multiply
    149,653x = 332,521.13 × 332,521.13
  4. Step 4: Simplify right side
    149,653x = 110,570,298,571.27
  5. Step 5: Solve for x
    x = 110,570,298,571.27/149,653
  6. Step 6: Final answer
    x = 738,844.52

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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.