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Finding the Third Proportional to 159,729.75 and 352,674

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Solution

The third proportional to 159,729.75 and 352,674 is: 778,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,729.75 : 352,674 = 352,674 : x
  2. Step 2: Convert to fraction form
    159,729.75/352,674 = 352,674/x
  3. Step 3: Cross multiply
    159,729.75x = 352,674 × 352,674
  4. Step 4: Simplify right side
    159,729.75x = 124,378,950,276
  5. Step 5: Solve for x
    x = 124,378,950,276/159,729.75
  6. Step 6: Final answer
    x = 778,683.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.